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Finding the Third Proportional to 467,309 and 1,023,057

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Solution

The third proportional to 467,309 and 1,023,057 is: 2,239,729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,309 : 1,023,057 = 1,023,057 : x
  2. Step 2: Convert to fraction form
    467,309/1,023,057 = 1,023,057/x
  3. Step 3: Cross multiply
    467,309x = 1,023,057 × 1,023,057
  4. Step 4: Simplify right side
    467,309x = 1,046,645,625,249
  5. Step 5: Solve for x
    x = 1,046,645,625,249/467,309
  6. Step 6: Final answer
    x = 2,239,729.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.