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Finding the Third Proportional to 563,949 and 1,227,285

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Solution

The third proportional to 563,949 and 1,227,285 is: 2,670,859.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,949 : 1,227,285 = 1,227,285 : x
  2. Step 2: Convert to fraction form
    563,949/1,227,285 = 1,227,285/x
  3. Step 3: Cross multiply
    563,949x = 1,227,285 × 1,227,285
  4. Step 4: Simplify right side
    563,949x = 1,506,228,471,225
  5. Step 5: Solve for x
    x = 1,506,228,471,225/563,949
  6. Step 6: Final answer
    x = 2,670,859.37

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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.