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Finding the Third Proportional to 510,798 and 1,036,188

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Solution

The third proportional to 510,798 and 1,036,188 is: 2,101,976.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,798 : 1,036,188 = 1,036,188 : x
  2. Step 2: Convert to fraction form
    510,798/1,036,188 = 1,036,188/x
  3. Step 3: Cross multiply
    510,798x = 1,036,188 × 1,036,188
  4. Step 4: Simplify right side
    510,798x = 1,073,685,571,344
  5. Step 5: Solve for x
    x = 1,073,685,571,344/510,798
  6. Step 6: Final answer
    x = 2,101,976.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.