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Finding the Third Proportional to 731,940 and 1,565,352

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Solution

The third proportional to 731,940 and 1,565,352 is: 3,347,715.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,940 : 1,565,352 = 1,565,352 : x
  2. Step 2: Convert to fraction form
    731,940/1,565,352 = 1,565,352/x
  3. Step 3: Cross multiply
    731,940x = 1,565,352 × 1,565,352
  4. Step 4: Simplify right side
    731,940x = 2,450,326,883,904
  5. Step 5: Solve for x
    x = 2,450,326,883,904/731,940
  6. Step 6: Final answer
    x = 3,347,715.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.