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Finding the Third Proportional to 840,534 and 1,261,665

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Solution

The third proportional to 840,534 and 1,261,665 is: 1,893,794.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,534 : 1,261,665 = 1,261,665 : x
  2. Step 2: Convert to fraction form
    840,534/1,261,665 = 1,261,665/x
  3. Step 3: Cross multiply
    840,534x = 1,261,665 × 1,261,665
  4. Step 4: Simplify right side
    840,534x = 1,591,798,572,225
  5. Step 5: Solve for x
    x = 1,591,798,572,225/840,534
  6. Step 6: Final answer
    x = 1,893,794.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.