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Finding the Third Proportional to 532,144 and 1,138,080

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Solution

The third proportional to 532,144 and 1,138,080 is: 2,433,976.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,144 : 1,138,080 = 1,138,080 : x
  2. Step 2: Convert to fraction form
    532,144/1,138,080 = 1,138,080/x
  3. Step 3: Cross multiply
    532,144x = 1,138,080 × 1,138,080
  4. Step 4: Simplify right side
    532,144x = 1,295,226,086,400
  5. Step 5: Solve for x
    x = 1,295,226,086,400/532,144
  6. Step 6: Final answer
    x = 2,433,976.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.