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Finding the Third Proportional to 721,454 and 1,121,478

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Solution

The third proportional to 721,454 and 1,121,478 is: 1,743,302.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,454 : 1,121,478 = 1,121,478 : x
  2. Step 2: Convert to fraction form
    721,454/1,121,478 = 1,121,478/x
  3. Step 3: Cross multiply
    721,454x = 1,121,478 × 1,121,478
  4. Step 4: Simplify right side
    721,454x = 1,257,712,904,484
  5. Step 5: Solve for x
    x = 1,257,712,904,484/721,454
  6. Step 6: Final answer
    x = 1,743,302.97

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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.