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Finding the Third Proportional to 983,049.75 and 1,328,160.75

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Solution

The third proportional to 983,049.75 and 1,328,160.75 is: 1,794,426.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,049.75 : 1,328,160.75 = 1,328,160.75 : x
  2. Step 2: Convert to fraction form
    983,049.75/1,328,160.75 = 1,328,160.75/x
  3. Step 3: Cross multiply
    983,049.75x = 1,328,160.75 × 1,328,160.75
  4. Step 4: Simplify right side
    983,049.75x = 1,764,010,977,840.56
  5. Step 5: Solve for x
    x = 1,764,010,977,840.56/983,049.75
  6. Step 6: Final answer
    x = 1,794,426.96

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.