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Finding the Third Proportional to 406,906 and 883,864

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Solution

The third proportional to 406,906 and 883,864 is: 1,919,891.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,906 : 883,864 = 883,864 : x
  2. Step 2: Convert to fraction form
    406,906/883,864 = 883,864/x
  3. Step 3: Cross multiply
    406,906x = 883,864 × 883,864
  4. Step 4: Simplify right side
    406,906x = 781,215,570,496
  5. Step 5: Solve for x
    x = 781,215,570,496/406,906
  6. Step 6: Final answer
    x = 1,919,891.99

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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.