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Finding the Third Proportional to 813,393.56 and 1,260,982.69

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Solution

The third proportional to 813,393.56 and 1,260,982.69 is: 1,954,868.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,393.56 : 1,260,982.69 = 1,260,982.69 : x
  2. Step 2: Convert to fraction form
    813,393.56/1,260,982.69 = 1,260,982.69/x
  3. Step 3: Cross multiply
    813,393.56x = 1,260,982.69 × 1,260,982.69
  4. Step 4: Simplify right side
    813,393.56x = 1,590,077,338,174.72
  5. Step 5: Solve for x
    x = 1,590,077,338,174.72/813,393.56
  6. Step 6: Final answer
    x = 1,954,868.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.