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Finding the Third Proportional to 1,153,442 and 2,524,107

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Solution

The third proportional to 1,153,442 and 2,524,107 is: 5,523,568.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153,442 : 2,524,107 = 2,524,107 : x
  2. Step 2: Convert to fraction form
    1,153,442/2,524,107 = 2,524,107/x
  3. Step 3: Cross multiply
    1,153,442x = 2,524,107 × 2,524,107
  4. Step 4: Simplify right side
    1,153,442x = 6,371,116,147,449
  5. Step 5: Solve for x
    x = 6,371,116,147,449/1,153,442
  6. Step 6: Final answer
    x = 5,523,568.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.