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Finding the Third Proportional to 3,251,817 and 4,830,561

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Solution

The third proportional to 3,251,817 and 4,830,561 is: 7,175,778.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251,817 : 4,830,561 = 4,830,561 : x
  2. Step 2: Convert to fraction form
    3,251,817/4,830,561 = 4,830,561/x
  3. Step 3: Cross multiply
    3,251,817x = 4,830,561 × 4,830,561
  4. Step 4: Simplify right side
    3,251,817x = 23,334,319,574,721
  5. Step 5: Solve for x
    x = 23,334,319,574,721/3,251,817
  6. Step 6: Final answer
    x = 7,175,778.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.