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Finding the Third Proportional to 664,057.13 and 1,407,916.13

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Solution

The third proportional to 664,057.13 and 1,407,916.13 is: 2,985,026.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,057.13 : 1,407,916.13 = 1,407,916.13 : x
  2. Step 2: Convert to fraction form
    664,057.13/1,407,916.13 = 1,407,916.13/x
  3. Step 3: Cross multiply
    664,057.13x = 1,407,916.13 × 1,407,916.13
  4. Step 4: Simplify right side
    664,057.13x = 1,982,227,815,035.02
  5. Step 5: Solve for x
    x = 1,982,227,815,035.02/664,057.13
  6. Step 6: Final answer
    x = 2,985,026.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.