Home / 1,023,456,297.94-1,462,542,758.44

Finding the Third Proportional to 1,023,456,297.94 and 1,462,542,758.44

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Solution

The third proportional to 1,023,456,297.94 and 1,462,542,758.44 is: 2,090,007,482.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,456,297.94 : 1,462,542,758.44 = 1,462,542,758.44 : x
  2. Step 2: Convert to fraction form
    1,023,456,297.94/1,462,542,758.44 = 1,462,542,758.44/x
  3. Step 3: Cross multiply
    1,023,456,297.94x = 1,462,542,758.44 × 1,462,542,758.44
  4. Step 4: Simplify right side
    1,023,456,297.94x = 2,139,031,320,257,971,456
  5. Step 5: Solve for x
    x = 2,139,031,320,257,971,456/1,023,456,297.94
  6. Step 6: Final answer
    x = 2,090,007,482.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.