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Finding the Third Proportional to 598,349 and 1,280,776

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Solution

The third proportional to 598,349 and 1,280,776 is: 2,741,522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,349 : 1,280,776 = 1,280,776 : x
  2. Step 2: Convert to fraction form
    598,349/1,280,776 = 1,280,776/x
  3. Step 3: Cross multiply
    598,349x = 1,280,776 × 1,280,776
  4. Step 4: Simplify right side
    598,349x = 1,640,387,162,176
  5. Step 5: Solve for x
    x = 1,640,387,162,176/598,349
  6. Step 6: Final answer
    x = 2,741,522.36

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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.