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Finding the Third Proportional to 399,342 and 868,664

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Solution

The third proportional to 399,342 and 868,664 is: 1,889,551.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,342 : 868,664 = 868,664 : x
  2. Step 2: Convert to fraction form
    399,342/868,664 = 868,664/x
  3. Step 3: Cross multiply
    399,342x = 868,664 × 868,664
  4. Step 4: Simplify right side
    399,342x = 754,577,144,896
  5. Step 5: Solve for x
    x = 754,577,144,896/399,342
  6. Step 6: Final answer
    x = 1,889,551.17

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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.