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Finding the Third Proportional to 1,153,872 and 2,524,905

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Solution

The third proportional to 1,153,872 and 2,524,905 is: 5,525,002.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153,872 : 2,524,905 = 2,524,905 : x
  2. Step 2: Convert to fraction form
    1,153,872/2,524,905 = 2,524,905/x
  3. Step 3: Cross multiply
    1,153,872x = 2,524,905 × 2,524,905
  4. Step 4: Simplify right side
    1,153,872x = 6,375,145,259,025
  5. Step 5: Solve for x
    x = 6,375,145,259,025/1,153,872
  6. Step 6: Final answer
    x = 5,525,002.13

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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.