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Finding the Third Proportional to 563,165 and 1,225,474

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Solution

The third proportional to 563,165 and 1,225,474 is: 2,666,690.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,165 : 1,225,474 = 1,225,474 : x
  2. Step 2: Convert to fraction form
    563,165/1,225,474 = 1,225,474/x
  3. Step 3: Cross multiply
    563,165x = 1,225,474 × 1,225,474
  4. Step 4: Simplify right side
    563,165x = 1,501,786,524,676
  5. Step 5: Solve for x
    x = 1,501,786,524,676/563,165
  6. Step 6: Final answer
    x = 2,666,690.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.