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Finding the Third Proportional to 532,544 and 1,158,400

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Solution

The third proportional to 532,544 and 1,158,400 is: 2,519,774.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,544 : 1,158,400 = 1,158,400 : x
  2. Step 2: Convert to fraction form
    532,544/1,158,400 = 1,158,400/x
  3. Step 3: Cross multiply
    532,544x = 1,158,400 × 1,158,400
  4. Step 4: Simplify right side
    532,544x = 1,341,890,560,000
  5. Step 5: Solve for x
    x = 1,341,890,560,000/532,544
  6. Step 6: Final answer
    x = 2,519,774.07

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