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Finding the Third Proportional to 834,888 and 1,268,268

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Solution

The third proportional to 834,888 and 1,268,268 is: 1,926,610.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,888 : 1,268,268 = 1,268,268 : x
  2. Step 2: Convert to fraction form
    834,888/1,268,268 = 1,268,268/x
  3. Step 3: Cross multiply
    834,888x = 1,268,268 × 1,268,268
  4. Step 4: Simplify right side
    834,888x = 1,608,503,719,824
  5. Step 5: Solve for x
    x = 1,608,503,719,824/834,888
  6. Step 6: Final answer
    x = 1,926,610.18

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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.