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Finding the Third Proportional to 717,610.50 and 1,538,253

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Solution

The third proportional to 717,610.50 and 1,538,253 is: 3,297,362.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,610.50 : 1,538,253 = 1,538,253 : x
  2. Step 2: Convert to fraction form
    717,610.50/1,538,253 = 1,538,253/x
  3. Step 3: Cross multiply
    717,610.50x = 1,538,253 × 1,538,253
  4. Step 4: Simplify right side
    717,610.50x = 2,366,222,292,009
  5. Step 5: Solve for x
    x = 2,366,222,292,009/717,610.50
  6. Step 6: Final answer
    x = 3,297,362.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.