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Finding the Third Proportional to 861,264 and 1,232,847

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Solution

The third proportional to 861,264 and 1,232,847 is: 1,764,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,264 : 1,232,847 = 1,232,847 : x
  2. Step 2: Convert to fraction form
    861,264/1,232,847 = 1,232,847/x
  3. Step 3: Cross multiply
    861,264x = 1,232,847 × 1,232,847
  4. Step 4: Simplify right side
    861,264x = 1,519,911,725,409
  5. Step 5: Solve for x
    x = 1,519,911,725,409/861,264
  6. Step 6: Final answer
    x = 1,764,745.45

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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.