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Finding the Third Proportional to 1,442,922 and 2,242,977

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Solution

The third proportional to 1,442,922 and 2,242,977 is: 3,486,637.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442,922 : 2,242,977 = 2,242,977 : x
  2. Step 2: Convert to fraction form
    1,442,922/2,242,977 = 2,242,977/x
  3. Step 3: Cross multiply
    1,442,922x = 2,242,977 × 2,242,977
  4. Step 4: Simplify right side
    1,442,922x = 5,030,945,822,529
  5. Step 5: Solve for x
    x = 5,030,945,822,529/1,442,922
  6. Step 6: Final answer
    x = 3,486,637.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.