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Finding the Third Proportional to 727,381 and 1,580,665

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Solution

The third proportional to 727,381 and 1,580,665 is: 3,434,928.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,381 : 1,580,665 = 1,580,665 : x
  2. Step 2: Convert to fraction form
    727,381/1,580,665 = 1,580,665/x
  3. Step 3: Cross multiply
    727,381x = 1,580,665 × 1,580,665
  4. Step 4: Simplify right side
    727,381x = 2,498,501,842,225
  5. Step 5: Solve for x
    x = 2,498,501,842,225/727,381
  6. Step 6: Final answer
    x = 3,434,928.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.