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Finding the Third Proportional to 532,462 and 1,158,218

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Solution

The third proportional to 532,462 and 1,158,218 is: 2,519,370.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,462 : 1,158,218 = 1,158,218 : x
  2. Step 2: Convert to fraction form
    532,462/1,158,218 = 1,158,218/x
  3. Step 3: Cross multiply
    532,462x = 1,158,218 × 1,158,218
  4. Step 4: Simplify right side
    532,462x = 1,341,468,935,524
  5. Step 5: Solve for x
    x = 1,341,468,935,524/532,462
  6. Step 6: Final answer
    x = 2,519,370.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.