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Finding the Third Proportional to 519,702.75 and 1,111,221

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Solution

The third proportional to 519,702.75 and 1,111,221 is: 2,375,996.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,702.75 : 1,111,221 = 1,111,221 : x
  2. Step 2: Convert to fraction form
    519,702.75/1,111,221 = 1,111,221/x
  3. Step 3: Cross multiply
    519,702.75x = 1,111,221 × 1,111,221
  4. Step 4: Simplify right side
    519,702.75x = 1,234,812,110,841
  5. Step 5: Solve for x
    x = 1,234,812,110,841/519,702.75
  6. Step 6: Final answer
    x = 2,375,996.88

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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.