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Finding the Third Proportional to 406,942 and 883,940

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Solution

The third proportional to 406,942 and 883,940 is: 1,920,052.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,942 : 883,940 = 883,940 : x
  2. Step 2: Convert to fraction form
    406,942/883,940 = 883,940/x
  3. Step 3: Cross multiply
    406,942x = 883,940 × 883,940
  4. Step 4: Simplify right side
    406,942x = 781,349,923,600
  5. Step 5: Solve for x
    x = 781,349,923,600/406,942
  6. Step 6: Final answer
    x = 1,920,052.30

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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.