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Finding the Third Proportional to 406,954 and 883,962

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Solution

The third proportional to 406,954 and 883,962 is: 1,920,091.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,954 : 883,962 = 883,962 : x
  2. Step 2: Convert to fraction form
    406,954/883,962 = 883,962/x
  3. Step 3: Cross multiply
    406,954x = 883,962 × 883,962
  4. Step 4: Simplify right side
    406,954x = 781,388,817,444
  5. Step 5: Solve for x
    x = 781,388,817,444/406,954
  6. Step 6: Final answer
    x = 1,920,091.26

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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.