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Finding the Third Proportional to 733,866 and 1,122,686

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Solution

The third proportional to 733,866 and 1,122,686 is: 1,717,512.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,866 : 1,122,686 = 1,122,686 : x
  2. Step 2: Convert to fraction form
    733,866/1,122,686 = 1,122,686/x
  3. Step 3: Cross multiply
    733,866x = 1,122,686 × 1,122,686
  4. Step 4: Simplify right side
    733,866x = 1,260,423,854,596
  5. Step 5: Solve for x
    x = 1,260,423,854,596/733,866
  6. Step 6: Final answer
    x = 1,717,512.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.