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Finding the Third Proportional to 399,340 and 868,660

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Solution

The third proportional to 399,340 and 868,660 is: 1,889,543.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,340 : 868,660 = 868,660 : x
  2. Step 2: Convert to fraction form
    399,340/868,660 = 868,660/x
  3. Step 3: Cross multiply
    399,340x = 868,660 × 868,660
  4. Step 4: Simplify right side
    399,340x = 754,570,195,600
  5. Step 5: Solve for x
    x = 754,570,195,600/399,340
  6. Step 6: Final answer
    x = 1,889,543.24

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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.