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Finding the Third Proportional to 399,010 and 861,322

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Solution

The third proportional to 399,010 and 861,322 is: 1,859,290.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,010 : 861,322 = 861,322 : x
  2. Step 2: Convert to fraction form
    399,010/861,322 = 861,322/x
  3. Step 3: Cross multiply
    399,010x = 861,322 × 861,322
  4. Step 4: Simplify right side
    399,010x = 741,875,587,684
  5. Step 5: Solve for x
    x = 741,875,587,684/399,010
  6. Step 6: Final answer
    x = 1,859,290.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.