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Finding the Third Proportional to 1,270,631 and 1,863,561

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Solution

The third proportional to 1,270,631 and 1,863,561 is: 2,733,177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,631 : 1,863,561 = 1,863,561 : x
  2. Step 2: Convert to fraction form
    1,270,631/1,863,561 = 1,863,561/x
  3. Step 3: Cross multiply
    1,270,631x = 1,863,561 × 1,863,561
  4. Step 4: Simplify right side
    1,270,631x = 3,472,859,600,721
  5. Step 5: Solve for x
    x = 3,472,859,600,721/1,270,631
  6. Step 6: Final answer
    x = 2,733,177.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.