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Finding the Third Proportional to 1,098,976.50 and 1,690,206.75

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Solution

The third proportional to 1,098,976.50 and 1,690,206.75 is: 2,599,508.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,976.50 : 1,690,206.75 = 1,690,206.75 : x
  2. Step 2: Convert to fraction form
    1,098,976.50/1,690,206.75 = 1,690,206.75/x
  3. Step 3: Cross multiply
    1,098,976.50x = 1,690,206.75 × 1,690,206.75
  4. Step 4: Simplify right side
    1,098,976.50x = 2,856,798,857,745.56
  5. Step 5: Solve for x
    x = 2,856,798,857,745.56/1,098,976.50
  6. Step 6: Final answer
    x = 2,599,508.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.