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Finding the Third Proportional to 406,926 and 883,908

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Solution

The third proportional to 406,926 and 883,908 is: 1,919,988.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,926 : 883,908 = 883,908 : x
  2. Step 2: Convert to fraction form
    406,926/883,908 = 883,908/x
  3. Step 3: Cross multiply
    406,926x = 883,908 × 883,908
  4. Step 4: Simplify right side
    406,926x = 781,293,352,464
  5. Step 5: Solve for x
    x = 781,293,352,464/406,926
  6. Step 6: Final answer
    x = 1,919,988.78

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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.