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Finding the Third Proportional to 721,711.13 and 1,122,752.81

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Solution

The third proportional to 721,711.13 and 1,122,752.81 is: 1,746,646.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,711.13 : 1,122,752.81 = 1,122,752.81 : x
  2. Step 2: Convert to fraction form
    721,711.13/1,122,752.81 = 1,122,752.81/x
  3. Step 3: Cross multiply
    721,711.13x = 1,122,752.81 × 1,122,752.81
  4. Step 4: Simplify right side
    721,711.13x = 1,260,573,877,976.66
  5. Step 5: Solve for x
    x = 1,260,573,877,976.66/721,711.13
  6. Step 6: Final answer
    x = 1,746,646.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.