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Finding the Third Proportional to 1,833,294.75 and 3,947,436.75

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Solution

The third proportional to 1,833,294.75 and 3,947,436.75 is: 8,499,591.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833,294.75 : 3,947,436.75 = 3,947,436.75 : x
  2. Step 2: Convert to fraction form
    1,833,294.75/3,947,436.75 = 3,947,436.75/x
  3. Step 3: Cross multiply
    1,833,294.75x = 3,947,436.75 × 3,947,436.75
  4. Step 4: Simplify right side
    1,833,294.75x = 15,582,256,895,250.56
  5. Step 5: Solve for x
    x = 15,582,256,895,250.56/1,833,294.75
  6. Step 6: Final answer
    x = 8,499,591.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.