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Finding the Third Proportional to 535,269 and 1,154,094

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Solution

The third proportional to 535,269 and 1,154,094 is: 2,488,343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,269 : 1,154,094 = 1,154,094 : x
  2. Step 2: Convert to fraction form
    535,269/1,154,094 = 1,154,094/x
  3. Step 3: Cross multiply
    535,269x = 1,154,094 × 1,154,094
  4. Step 4: Simplify right side
    535,269x = 1,331,932,960,836
  5. Step 5: Solve for x
    x = 1,331,932,960,836/535,269
  6. Step 6: Final answer
    x = 2,488,343.17

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.