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Finding the Third Proportional to 866,488 and 1,267,645

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Solution

The third proportional to 866,488 and 1,267,645 is: 1,854,525.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,488 : 1,267,645 = 1,267,645 : x
  2. Step 2: Convert to fraction form
    866,488/1,267,645 = 1,267,645/x
  3. Step 3: Cross multiply
    866,488x = 1,267,645 × 1,267,645
  4. Step 4: Simplify right side
    866,488x = 1,606,923,846,025
  5. Step 5: Solve for x
    x = 1,606,923,846,025/866,488
  6. Step 6: Final answer
    x = 1,854,525.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.