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Finding the Third Proportional to 406,982 and 883,996

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Solution

The third proportional to 406,982 and 883,996 is: 1,920,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,982 : 883,996 = 883,996 : x
  2. Step 2: Convert to fraction form
    406,982/883,996 = 883,996/x
  3. Step 3: Cross multiply
    406,982x = 883,996 × 883,996
  4. Step 4: Simplify right side
    406,982x = 781,448,928,016
  5. Step 5: Solve for x
    x = 781,448,928,016/406,982
  6. Step 6: Final answer
    x = 1,920,106.85

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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.