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Finding the Third Proportional to 866,042 and 1,247,498

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Solution

The third proportional to 866,042 and 1,247,498 is: 1,796,969.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,042 : 1,247,498 = 1,247,498 : x
  2. Step 2: Convert to fraction form
    866,042/1,247,498 = 1,247,498/x
  3. Step 3: Cross multiply
    866,042x = 1,247,498 × 1,247,498
  4. Step 4: Simplify right side
    866,042x = 1,556,251,260,004
  5. Step 5: Solve for x
    x = 1,556,251,260,004/866,042
  6. Step 6: Final answer
    x = 1,796,969.73

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.