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Finding the Third Proportional to 532,322.44 and 1,154,486.53

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Solution

The third proportional to 532,322.44 and 1,154,486.53 is: 2,503,819.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,322.44 : 1,154,486.53 = 1,154,486.53 : x
  2. Step 2: Convert to fraction form
    532,322.44/1,154,486.53 = 1,154,486.53/x
  3. Step 3: Cross multiply
    532,322.44x = 1,154,486.53 × 1,154,486.53
  4. Step 4: Simplify right side
    532,322.44x = 1,332,839,150,837.66
  5. Step 5: Solve for x
    x = 1,332,839,150,837.66/532,322.44
  6. Step 6: Final answer
    x = 2,503,819.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.