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Finding the Third Proportional to 524,347 and 1,117,327

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Solution

The third proportional to 524,347 and 1,117,327 is: 2,380,903.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,347 : 1,117,327 = 1,117,327 : x
  2. Step 2: Convert to fraction form
    524,347/1,117,327 = 1,117,327/x
  3. Step 3: Cross multiply
    524,347x = 1,117,327 × 1,117,327
  4. Step 4: Simplify right side
    524,347x = 1,248,419,624,929
  5. Step 5: Solve for x
    x = 1,248,419,624,929/524,347
  6. Step 6: Final answer
    x = 2,380,903.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.