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Finding the Third Proportional to 2,925,940 and 6,257,474

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Solution

The third proportional to 2,925,940 and 6,257,474 is: 13,382,359.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925,940 : 6,257,474 = 6,257,474 : x
  2. Step 2: Convert to fraction form
    2,925,940/6,257,474 = 6,257,474/x
  3. Step 3: Cross multiply
    2,925,940x = 6,257,474 × 6,257,474
  4. Step 4: Simplify right side
    2,925,940x = 39,155,980,860,676
  5. Step 5: Solve for x
    x = 39,155,980,860,676/2,925,940
  6. Step 6: Final answer
    x = 13,382,359.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.