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Finding the Third Proportional to 667,570.50 and 1,471,284

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Solution

The third proportional to 667,570.50 and 1,471,284 is: 3,242,618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,570.50 : 1,471,284 = 1,471,284 : x
  2. Step 2: Convert to fraction form
    667,570.50/1,471,284 = 1,471,284/x
  3. Step 3: Cross multiply
    667,570.50x = 1,471,284 × 1,471,284
  4. Step 4: Simplify right side
    667,570.50x = 2,164,676,608,656
  5. Step 5: Solve for x
    x = 2,164,676,608,656/667,570.50
  6. Step 6: Final answer
    x = 3,242,618.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.