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Finding the Third Proportional to 399,147 and 861,606

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Solution

The third proportional to 399,147 and 861,606 is: 1,859,878.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,147 : 861,606 = 861,606 : x
  2. Step 2: Convert to fraction form
    399,147/861,606 = 861,606/x
  3. Step 3: Cross multiply
    399,147x = 861,606 × 861,606
  4. Step 4: Simplify right side
    399,147x = 742,364,899,236
  5. Step 5: Solve for x
    x = 742,364,899,236/399,147
  6. Step 6: Final answer
    x = 1,859,878.44

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Why These Related Problems?

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