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Finding the Third Proportional to 2,424,573 and 3,727,856.25

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Solution

The third proportional to 2,424,573 and 3,727,856.25 is: 5,731,694.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424,573 : 3,727,856.25 = 3,727,856.25 : x
  2. Step 2: Convert to fraction form
    2,424,573/3,727,856.25 = 3,727,856.25/x
  3. Step 3: Cross multiply
    2,424,573x = 3,727,856.25 × 3,727,856.25
  4. Step 4: Simplify right side
    2,424,573x = 13,896,912,220,664.06
  5. Step 5: Solve for x
    x = 13,896,912,220,664.06/2,424,573
  6. Step 6: Final answer
    x = 5,731,694.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.