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Finding the Third Proportional to 524,822 and 1,144,606

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Solution

The third proportional to 524,822 and 1,144,606 is: 2,496,318.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,822 : 1,144,606 = 1,144,606 : x
  2. Step 2: Convert to fraction form
    524,822/1,144,606 = 1,144,606/x
  3. Step 3: Cross multiply
    524,822x = 1,144,606 × 1,144,606
  4. Step 4: Simplify right side
    524,822x = 1,310,122,895,236
  5. Step 5: Solve for x
    x = 1,310,122,895,236/524,822
  6. Step 6: Final answer
    x = 2,496,318.55

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