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Finding the Third Proportional to 681,025 and 1,465,970

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Solution

The third proportional to 681,025 and 1,465,970 is: 3,155,637.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,025 : 1,465,970 = 1,465,970 : x
  2. Step 2: Convert to fraction form
    681,025/1,465,970 = 1,465,970/x
  3. Step 3: Cross multiply
    681,025x = 1,465,970 × 1,465,970
  4. Step 4: Simplify right side
    681,025x = 2,149,068,040,900
  5. Step 5: Solve for x
    x = 2,149,068,040,900/681,025
  6. Step 6: Final answer
    x = 3,155,637.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.