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Finding the Third Proportional to 513,648 and 1,103,760

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Solution

The third proportional to 513,648 and 1,103,760 is: 2,371,830.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,648 : 1,103,760 = 1,103,760 : x
  2. Step 2: Convert to fraction form
    513,648/1,103,760 = 1,103,760/x
  3. Step 3: Cross multiply
    513,648x = 1,103,760 × 1,103,760
  4. Step 4: Simplify right side
    513,648x = 1,218,286,137,600
  5. Step 5: Solve for x
    x = 1,218,286,137,600/513,648
  6. Step 6: Final answer
    x = 2,371,830.78

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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.