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Finding the Third Proportional to 423,764 and 914,747

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Solution

The third proportional to 423,764 and 914,747 is: 1,974,594.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,764 : 914,747 = 914,747 : x
  2. Step 2: Convert to fraction form
    423,764/914,747 = 914,747/x
  3. Step 3: Cross multiply
    423,764x = 914,747 × 914,747
  4. Step 4: Simplify right side
    423,764x = 836,762,074,009
  5. Step 5: Solve for x
    x = 836,762,074,009/423,764
  6. Step 6: Final answer
    x = 1,974,594.52

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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.