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Finding the Third Proportional to 406,920 and 883,894

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Solution

The third proportional to 406,920 and 883,894 is: 1,919,956.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,920 : 883,894 = 883,894 : x
  2. Step 2: Convert to fraction form
    406,920/883,894 = 883,894/x
  3. Step 3: Cross multiply
    406,920x = 883,894 × 883,894
  4. Step 4: Simplify right side
    406,920x = 781,268,603,236
  5. Step 5: Solve for x
    x = 781,268,603,236/406,920
  6. Step 6: Final answer
    x = 1,919,956.26

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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.