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Finding the Third Proportional to 399,366 and 868,712

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Solution

The third proportional to 399,366 and 868,712 is: 1,889,646.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,366 : 868,712 = 868,712 : x
  2. Step 2: Convert to fraction form
    399,366/868,712 = 868,712/x
  3. Step 3: Cross multiply
    399,366x = 868,712 × 868,712
  4. Step 4: Simplify right side
    399,366x = 754,660,538,944
  5. Step 5: Solve for x
    x = 754,660,538,944/399,366
  6. Step 6: Final answer
    x = 1,889,646.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.