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Finding the Third Proportional to 2,738,824.52 and 4,274,052.96

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Solution

The third proportional to 2,738,824.52 and 4,274,052.96 is: 6,669,842.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738,824.52 : 4,274,052.96 = 4,274,052.96 : x
  2. Step 2: Convert to fraction form
    2,738,824.52/4,274,052.96 = 4,274,052.96/x
  3. Step 3: Cross multiply
    2,738,824.52x = 4,274,052.96 × 4,274,052.96
  4. Step 4: Simplify right side
    2,738,824.52x = 18,267,528,712,898.61
  5. Step 5: Solve for x
    x = 18,267,528,712,898.61/2,738,824.52
  6. Step 6: Final answer
    x = 6,669,842.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.