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Finding the Third Proportional to 423,769 and 914,758

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Solution

The third proportional to 423,769 and 914,758 is: 1,974,618.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,769 : 914,758 = 914,758 : x
  2. Step 2: Convert to fraction form
    423,769/914,758 = 914,758/x
  3. Step 3: Cross multiply
    423,769x = 914,758 × 914,758
  4. Step 4: Simplify right side
    423,769x = 836,782,198,564
  5. Step 5: Solve for x
    x = 836,782,198,564/423,769
  6. Step 6: Final answer
    x = 1,974,618.72

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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.