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Finding the Third Proportional to 524,272 and 1,123,244

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Solution

The third proportional to 524,272 and 1,123,244 is: 2,406,531.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,272 : 1,123,244 = 1,123,244 : x
  2. Step 2: Convert to fraction form
    524,272/1,123,244 = 1,123,244/x
  3. Step 3: Cross multiply
    524,272x = 1,123,244 × 1,123,244
  4. Step 4: Simplify right side
    524,272x = 1,261,677,083,536
  5. Step 5: Solve for x
    x = 1,261,677,083,536/524,272
  6. Step 6: Final answer
    x = 2,406,531.50

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Why These Related Problems?

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