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Finding the Third Proportional to 2,142,474 and 4,462,500

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Solution

The third proportional to 2,142,474 and 4,462,500 is: 9,294,818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142,474 : 4,462,500 = 4,462,500 : x
  2. Step 2: Convert to fraction form
    2,142,474/4,462,500 = 4,462,500/x
  3. Step 3: Cross multiply
    2,142,474x = 4,462,500 × 4,462,500
  4. Step 4: Simplify right side
    2,142,474x = 19,913,906,250,000
  5. Step 5: Solve for x
    x = 19,913,906,250,000/2,142,474
  6. Step 6: Final answer
    x = 9,294,818.16

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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.