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Finding the Third Proportional to 757,414 and 1,632,920

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Solution

The third proportional to 757,414 and 1,632,920 is: 3,520,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,414 : 1,632,920 = 1,632,920 : x
  2. Step 2: Convert to fraction form
    757,414/1,632,920 = 1,632,920/x
  3. Step 3: Cross multiply
    757,414x = 1,632,920 × 1,632,920
  4. Step 4: Simplify right side
    757,414x = 2,666,427,726,400
  5. Step 5: Solve for x
    x = 2,666,427,726,400/757,414
  6. Step 6: Final answer
    x = 3,520,436.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.