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Finding the Third Proportional to 1,332,676 and 1,949,031

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Solution

The third proportional to 1,332,676 and 1,949,031 is: 2,850,446.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332,676 : 1,949,031 = 1,949,031 : x
  2. Step 2: Convert to fraction form
    1,332,676/1,949,031 = 1,949,031/x
  3. Step 3: Cross multiply
    1,332,676x = 1,949,031 × 1,949,031
  4. Step 4: Simplify right side
    1,332,676x = 3,798,721,838,961
  5. Step 5: Solve for x
    x = 3,798,721,838,961/1,332,676
  6. Step 6: Final answer
    x = 2,850,446.65

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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.