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Finding the Third Proportional to 979,724 and 1,498,676

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Solution

The third proportional to 979,724 and 1,498,676 is: 2,292,512.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,724 : 1,498,676 = 1,498,676 : x
  2. Step 2: Convert to fraction form
    979,724/1,498,676 = 1,498,676/x
  3. Step 3: Cross multiply
    979,724x = 1,498,676 × 1,498,676
  4. Step 4: Simplify right side
    979,724x = 2,246,029,752,976
  5. Step 5: Solve for x
    x = 2,246,029,752,976/979,724
  6. Step 6: Final answer
    x = 2,292,512.74

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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.