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Finding the Third Proportional to 657,456.75 and 1,610,364.38

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Solution

The third proportional to 657,456.75 and 1,610,364.38 is: 3,944,401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,456.75 : 1,610,364.38 = 1,610,364.38 : x
  2. Step 2: Convert to fraction form
    657,456.75/1,610,364.38 = 1,610,364.38/x
  3. Step 3: Cross multiply
    657,456.75x = 1,610,364.38 × 1,610,364.38
  4. Step 4: Simplify right side
    657,456.75x = 2,593,273,420,269.14
  5. Step 5: Solve for x
    x = 2,593,273,420,269.14/657,456.75
  6. Step 6: Final answer
    x = 3,944,401.54

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.