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Finding the Third Proportional to 979,734 and 1,498,689

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Solution

The third proportional to 979,734 and 1,498,689 is: 2,292,529.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,734 : 1,498,689 = 1,498,689 : x
  2. Step 2: Convert to fraction form
    979,734/1,498,689 = 1,498,689/x
  3. Step 3: Cross multiply
    979,734x = 1,498,689 × 1,498,689
  4. Step 4: Simplify right side
    979,734x = 2,246,068,718,721
  5. Step 5: Solve for x
    x = 2,246,068,718,721/979,734
  6. Step 6: Final answer
    x = 2,292,529.11

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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.