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Finding the Third Proportional to 537,877 and 1,158,743

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Solution

The third proportional to 537,877 and 1,158,743 is: 2,496,268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,877 : 1,158,743 = 1,158,743 : x
  2. Step 2: Convert to fraction form
    537,877/1,158,743 = 1,158,743/x
  3. Step 3: Cross multiply
    537,877x = 1,158,743 × 1,158,743
  4. Step 4: Simplify right side
    537,877x = 1,342,685,340,049
  5. Step 5: Solve for x
    x = 1,342,685,340,049/537,877
  6. Step 6: Final answer
    x = 2,496,268.37

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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.