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Finding the Third Proportional to 417,511 and 930,644

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Solution

The third proportional to 417,511 and 930,644 is: 2,074,432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,511 : 930,644 = 930,644 : x
  2. Step 2: Convert to fraction form
    417,511/930,644 = 930,644/x
  3. Step 3: Cross multiply
    417,511x = 930,644 × 930,644
  4. Step 4: Simplify right side
    417,511x = 866,098,254,736
  5. Step 5: Solve for x
    x = 866,098,254,736/417,511
  6. Step 6: Final answer
    x = 2,074,432.18

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.