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Finding the Third Proportional to 564,057 and 1,231,011

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Solution

The third proportional to 564,057 and 1,231,011 is: 2,686,586.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,057 : 1,231,011 = 1,231,011 : x
  2. Step 2: Convert to fraction form
    564,057/1,231,011 = 1,231,011/x
  3. Step 3: Cross multiply
    564,057x = 1,231,011 × 1,231,011
  4. Step 4: Simplify right side
    564,057x = 1,515,388,082,121
  5. Step 5: Solve for x
    x = 1,515,388,082,121/564,057
  6. Step 6: Final answer
    x = 2,686,586.78

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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.