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Finding the Third Proportional to 406,976 and 884,006

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Solution

The third proportional to 406,976 and 884,006 is: 1,920,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,976 : 884,006 = 884,006 : x
  2. Step 2: Convert to fraction form
    406,976/884,006 = 884,006/x
  3. Step 3: Cross multiply
    406,976x = 884,006 × 884,006
  4. Step 4: Simplify right side
    406,976x = 781,466,608,036
  5. Step 5: Solve for x
    x = 781,466,608,036/406,976
  6. Step 6: Final answer
    x = 1,920,178.61

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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.