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Finding the Third Proportional to 3,634,071 and 4,937,517

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Solution

The third proportional to 3,634,071 and 4,937,517 is: 6,708,474.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634,071 : 4,937,517 = 4,937,517 : x
  2. Step 2: Convert to fraction form
    3,634,071/4,937,517 = 4,937,517/x
  3. Step 3: Cross multiply
    3,634,071x = 4,937,517 × 4,937,517
  4. Step 4: Simplify right side
    3,634,071x = 24,379,074,125,289
  5. Step 5: Solve for x
    x = 24,379,074,125,289/3,634,071
  6. Step 6: Final answer
    x = 6,708,474.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.