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Finding the Third Proportional to 532,672 and 1,144,400

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Solution

The third proportional to 532,672 and 1,144,400 is: 2,458,645.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,672 : 1,144,400 = 1,144,400 : x
  2. Step 2: Convert to fraction form
    532,672/1,144,400 = 1,144,400/x
  3. Step 3: Cross multiply
    532,672x = 1,144,400 × 1,144,400
  4. Step 4: Simplify right side
    532,672x = 1,309,651,360,000
  5. Step 5: Solve for x
    x = 1,309,651,360,000/532,672
  6. Step 6: Final answer
    x = 2,458,645.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.