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Finding the Third Proportional to 815,508 and 1,705,374

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Solution

The third proportional to 815,508 and 1,705,374 is: 3,566,243.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,508 : 1,705,374 = 1,705,374 : x
  2. Step 2: Convert to fraction form
    815,508/1,705,374 = 1,705,374/x
  3. Step 3: Cross multiply
    815,508x = 1,705,374 × 1,705,374
  4. Step 4: Simplify right side
    815,508x = 2,908,300,479,876
  5. Step 5: Solve for x
    x = 2,908,300,479,876/815,508
  6. Step 6: Final answer
    x = 3,566,243.96

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.