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Finding the Third Proportional to 406,978 and 883,986

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Solution

The third proportional to 406,978 and 883,986 is: 1,920,082.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,978 : 883,986 = 883,986 : x
  2. Step 2: Convert to fraction form
    406,978/883,986 = 883,986/x
  3. Step 3: Cross multiply
    406,978x = 883,986 × 883,986
  4. Step 4: Simplify right side
    406,978x = 781,431,248,196
  5. Step 5: Solve for x
    x = 781,431,248,196/406,978
  6. Step 6: Final answer
    x = 1,920,082.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.