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Finding the Third Proportional to 834,874.50 and 1,268,241.75

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Solution

The third proportional to 834,874.50 and 1,268,241.75 is: 1,926,561.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,874.50 : 1,268,241.75 = 1,268,241.75 : x
  2. Step 2: Convert to fraction form
    834,874.50/1,268,241.75 = 1,268,241.75/x
  3. Step 3: Cross multiply
    834,874.50x = 1,268,241.75 × 1,268,241.75
  4. Step 4: Simplify right side
    834,874.50x = 1,608,437,136,443.06
  5. Step 5: Solve for x
    x = 1,608,437,136,443.06/834,874.50
  6. Step 6: Final answer
    x = 1,926,561.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.