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Finding the Third Proportional to 2,005,215 and 4,175,670

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Solution

The third proportional to 2,005,215 and 4,175,670 is: 8,695,436.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,215 : 4,175,670 = 4,175,670 : x
  2. Step 2: Convert to fraction form
    2,005,215/4,175,670 = 4,175,670/x
  3. Step 3: Cross multiply
    2,005,215x = 4,175,670 × 4,175,670
  4. Step 4: Simplify right side
    2,005,215x = 17,436,219,948,900
  5. Step 5: Solve for x
    x = 17,436,219,948,900/2,005,215
  6. Step 6: Final answer
    x = 8,695,436.62

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.