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Finding the Third Proportional to 562,196.81 and 1,229,248.13

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Solution

The third proportional to 562,196.81 and 1,229,248.13 is: 2,687,761.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,196.81 : 1,229,248.13 = 1,229,248.13 : x
  2. Step 2: Convert to fraction form
    562,196.81/1,229,248.13 = 1,229,248.13/x
  3. Step 3: Cross multiply
    562,196.81x = 1,229,248.13 × 1,229,248.13
  4. Step 4: Simplify right side
    562,196.81x = 1,511,050,952,816.02
  5. Step 5: Solve for x
    x = 1,511,050,952,816.02/562,196.81
  6. Step 6: Final answer
    x = 2,687,761.51

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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.