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Finding the Third Proportional to 537,888 and 1,158,762

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Solution

The third proportional to 537,888 and 1,158,762 is: 2,496,299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,888 : 1,158,762 = 1,158,762 : x
  2. Step 2: Convert to fraction form
    537,888/1,158,762 = 1,158,762/x
  3. Step 3: Cross multiply
    537,888x = 1,158,762 × 1,158,762
  4. Step 4: Simplify right side
    537,888x = 1,342,729,372,644
  5. Step 5: Solve for x
    x = 1,342,729,372,644/537,888
  6. Step 6: Final answer
    x = 2,496,299.18

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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.