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Finding the Third Proportional to 425,682 and 915,941

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Solution

The third proportional to 425,682 and 915,941 is: 1,970,832.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,682 : 915,941 = 915,941 : x
  2. Step 2: Convert to fraction form
    425,682/915,941 = 915,941/x
  3. Step 3: Cross multiply
    425,682x = 915,941 × 915,941
  4. Step 4: Simplify right side
    425,682x = 838,947,915,481
  5. Step 5: Solve for x
    x = 838,947,915,481/425,682
  6. Step 6: Final answer
    x = 1,970,832.49

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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.