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Finding the Third Proportional to 406,934 and 883,922

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Solution

The third proportional to 406,934 and 883,922 is: 1,920,011.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,934 : 883,922 = 883,922 : x
  2. Step 2: Convert to fraction form
    406,934/883,922 = 883,922/x
  3. Step 3: Cross multiply
    406,934x = 883,922 × 883,922
  4. Step 4: Simplify right side
    406,934x = 781,318,102,084
  5. Step 5: Solve for x
    x = 781,318,102,084/406,934
  6. Step 6: Final answer
    x = 1,920,011.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.