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Finding the Third Proportional to 814,311 and 1,608,184.50

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Solution

The third proportional to 814,311 and 1,608,184.50 is: 3,176,006.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,311 : 1,608,184.50 = 1,608,184.50 : x
  2. Step 2: Convert to fraction form
    814,311/1,608,184.50 = 1,608,184.50/x
  3. Step 3: Cross multiply
    814,311x = 1,608,184.50 × 1,608,184.50
  4. Step 4: Simplify right side
    814,311x = 2,586,257,386,040.25
  5. Step 5: Solve for x
    x = 2,586,257,386,040.25/814,311
  6. Step 6: Final answer
    x = 3,176,006.94

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.