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Finding the Third Proportional to 406,969 and 883,967

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Solution

The third proportional to 406,969 and 883,967 is: 1,920,042.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,969 : 883,967 = 883,967 : x
  2. Step 2: Convert to fraction form
    406,969/883,967 = 883,967/x
  3. Step 3: Cross multiply
    406,969x = 883,967 × 883,967
  4. Step 4: Simplify right side
    406,969x = 781,397,657,089
  5. Step 5: Solve for x
    x = 781,397,657,089/406,969
  6. Step 6: Final answer
    x = 1,920,042.21

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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.