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Finding the Third Proportional to 996,267 and 1,538,437.50

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Solution

The third proportional to 996,267 and 1,538,437.50 is: 2,375,658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,267 : 1,538,437.50 = 1,538,437.50 : x
  2. Step 2: Convert to fraction form
    996,267/1,538,437.50 = 1,538,437.50/x
  3. Step 3: Cross multiply
    996,267x = 1,538,437.50 × 1,538,437.50
  4. Step 4: Simplify right side
    996,267x = 2,366,789,941,406.25
  5. Step 5: Solve for x
    x = 2,366,789,941,406.25/996,267
  6. Step 6: Final answer
    x = 2,375,658.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.