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Finding the Third Proportional to 524,978 and 1,146,184

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Solution

The third proportional to 524,978 and 1,146,184 is: 2,502,462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,978 : 1,146,184 = 1,146,184 : x
  2. Step 2: Convert to fraction form
    524,978/1,146,184 = 1,146,184/x
  3. Step 3: Cross multiply
    524,978x = 1,146,184 × 1,146,184
  4. Step 4: Simplify right side
    524,978x = 1,313,737,761,856
  5. Step 5: Solve for x
    x = 1,313,737,761,856/524,978
  6. Step 6: Final answer
    x = 2,502,462.51

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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.