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Finding the Third Proportional to 510,314 and 1,098,632

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Solution

The third proportional to 510,314 and 1,098,632 is: 2,365,195.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,314 : 1,098,632 = 1,098,632 : x
  2. Step 2: Convert to fraction form
    510,314/1,098,632 = 1,098,632/x
  3. Step 3: Cross multiply
    510,314x = 1,098,632 × 1,098,632
  4. Step 4: Simplify right side
    510,314x = 1,206,992,271,424
  5. Step 5: Solve for x
    x = 1,206,992,271,424/510,314
  6. Step 6: Final answer
    x = 2,365,195.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.