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Finding the Third Proportional to 406,909 and 883,871

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Solution

The third proportional to 406,909 and 883,871 is: 1,919,908.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,909 : 883,871 = 883,871 : x
  2. Step 2: Convert to fraction form
    406,909/883,871 = 883,871/x
  3. Step 3: Cross multiply
    406,909x = 883,871 × 883,871
  4. Step 4: Simplify right side
    406,909x = 781,227,944,641
  5. Step 5: Solve for x
    x = 781,227,944,641/406,909
  6. Step 6: Final answer
    x = 1,919,908.25

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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.