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Finding the Third Proportional to 605,727 and 933,862

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Solution

The third proportional to 605,727 and 933,862 is: 1,439,754.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,727 : 933,862 = 933,862 : x
  2. Step 2: Convert to fraction form
    605,727/933,862 = 933,862/x
  3. Step 3: Cross multiply
    605,727x = 933,862 × 933,862
  4. Step 4: Simplify right side
    605,727x = 872,098,235,044
  5. Step 5: Solve for x
    x = 872,098,235,044/605,727
  6. Step 6: Final answer
    x = 1,439,754.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.