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Finding the Third Proportional to 578,061 and 1,218,441

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Solution

The third proportional to 578,061 and 1,218,441 is: 2,568,238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,061 : 1,218,441 = 1,218,441 : x
  2. Step 2: Convert to fraction form
    578,061/1,218,441 = 1,218,441/x
  3. Step 3: Cross multiply
    578,061x = 1,218,441 × 1,218,441
  4. Step 4: Simplify right side
    578,061x = 1,484,598,470,481
  5. Step 5: Solve for x
    x = 1,484,598,470,481/578,061
  6. Step 6: Final answer
    x = 2,568,238.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.