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Finding the Third Proportional to 541,018 and 1,157,082

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Solution

The third proportional to 541,018 and 1,157,082 is: 2,474,665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,018 : 1,157,082 = 1,157,082 : x
  2. Step 2: Convert to fraction form
    541,018/1,157,082 = 1,157,082/x
  3. Step 3: Cross multiply
    541,018x = 1,157,082 × 1,157,082
  4. Step 4: Simplify right side
    541,018x = 1,338,838,754,724
  5. Step 5: Solve for x
    x = 1,338,838,754,724/541,018
  6. Step 6: Final answer
    x = 2,474,665.82

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