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Finding the Third Proportional to 2,351,856.50 and 4,986,314

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Solution

The third proportional to 2,351,856.50 and 4,986,314 is: 10,571,787.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351,856.50 : 4,986,314 = 4,986,314 : x
  2. Step 2: Convert to fraction form
    2,351,856.50/4,986,314 = 4,986,314/x
  3. Step 3: Cross multiply
    2,351,856.50x = 4,986,314 × 4,986,314
  4. Step 4: Simplify right side
    2,351,856.50x = 24,863,327,306,596
  5. Step 5: Solve for x
    x = 24,863,327,306,596/2,351,856.50
  6. Step 6: Final answer
    x = 10,571,787.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.