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Finding the Third Proportional to 832,764 and 1,815,337.50

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Solution

The third proportional to 832,764 and 1,815,337.50 is: 3,957,243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,764 : 1,815,337.50 = 1,815,337.50 : x
  2. Step 2: Convert to fraction form
    832,764/1,815,337.50 = 1,815,337.50/x
  3. Step 3: Cross multiply
    832,764x = 1,815,337.50 × 1,815,337.50
  4. Step 4: Simplify right side
    832,764x = 3,295,450,238,906.25
  5. Step 5: Solve for x
    x = 3,295,450,238,906.25/832,764
  6. Step 6: Final answer
    x = 3,957,243.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.