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Finding the Third Proportional to 747,196.31 and 1,547,560.13

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Solution

The third proportional to 747,196.31 and 1,547,560.13 is: 3,205,238.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,196.31 : 1,547,560.13 = 1,547,560.13 : x
  2. Step 2: Convert to fraction form
    747,196.31/1,547,560.13 = 1,547,560.13/x
  3. Step 3: Cross multiply
    747,196.31x = 1,547,560.13 × 1,547,560.13
  4. Step 4: Simplify right side
    747,196.31x = 2,394,942,340,490.02
  5. Step 5: Solve for x
    x = 2,394,942,340,490.02/747,196.31
  6. Step 6: Final answer
    x = 3,205,238.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.