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Finding the Third Proportional to 809,098.50 and 1,228,410

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Solution

The third proportional to 809,098.50 and 1,228,410 is: 1,865,027.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,098.50 : 1,228,410 = 1,228,410 : x
  2. Step 2: Convert to fraction form
    809,098.50/1,228,410 = 1,228,410/x
  3. Step 3: Cross multiply
    809,098.50x = 1,228,410 × 1,228,410
  4. Step 4: Simplify right side
    809,098.50x = 1,508,991,128,100
  5. Step 5: Solve for x
    x = 1,508,991,128,100/809,098.50
  6. Step 6: Final answer
    x = 1,865,027.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.