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Finding the Third Proportional to 861,268 and 1,232,853

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Solution

The third proportional to 861,268 and 1,232,853 is: 1,764,754.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,268 : 1,232,853 = 1,232,853 : x
  2. Step 2: Convert to fraction form
    861,268/1,232,853 = 1,232,853/x
  3. Step 3: Cross multiply
    861,268x = 1,232,853 × 1,232,853
  4. Step 4: Simplify right side
    861,268x = 1,519,926,519,609
  5. Step 5: Solve for x
    x = 1,519,926,519,609/861,268
  6. Step 6: Final answer
    x = 1,764,754.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.