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Finding the Third Proportional to 1,313,680 and 1,979,919

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Solution

The third proportional to 1,313,680 and 1,979,919 is: 2,984,044.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313,680 : 1,979,919 = 1,979,919 : x
  2. Step 2: Convert to fraction form
    1,313,680/1,979,919 = 1,979,919/x
  3. Step 3: Cross multiply
    1,313,680x = 1,979,919 × 1,979,919
  4. Step 4: Simplify right side
    1,313,680x = 3,920,079,246,561
  5. Step 5: Solve for x
    x = 3,920,079,246,561/1,313,680
  6. Step 6: Final answer
    x = 2,984,044.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.