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Finding the Third Proportional to 526,958.16 and 1,133,839.90

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Solution

The third proportional to 526,958.16 and 1,133,839.90 is: 2,439,648.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,958.16 : 1,133,839.90 = 1,133,839.90 : x
  2. Step 2: Convert to fraction form
    526,958.16/1,133,839.90 = 1,133,839.90/x
  3. Step 3: Cross multiply
    526,958.16x = 1,133,839.90 × 1,133,839.90
  4. Step 4: Simplify right side
    526,958.16x = 1,285,592,915,288.76
  5. Step 5: Solve for x
    x = 1,285,592,915,288.76/526,958.16
  6. Step 6: Final answer
    x = 2,439,648.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.