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Finding the Third Proportional to 598,236 and 1,280,552

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Solution

The third proportional to 598,236 and 1,280,552 is: 2,741,081.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,236 : 1,280,552 = 1,280,552 : x
  2. Step 2: Convert to fraction form
    598,236/1,280,552 = 1,280,552/x
  3. Step 3: Cross multiply
    598,236x = 1,280,552 × 1,280,552
  4. Step 4: Simplify right side
    598,236x = 1,639,813,424,704
  5. Step 5: Solve for x
    x = 1,639,813,424,704/598,236
  6. Step 6: Final answer
    x = 2,741,081.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.