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Finding the Third Proportional to 857,361 and 1,253,854.50

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Solution

The third proportional to 857,361 and 1,253,854.50 is: 1,833,709.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,361 : 1,253,854.50 = 1,253,854.50 : x
  2. Step 2: Convert to fraction form
    857,361/1,253,854.50 = 1,253,854.50/x
  3. Step 3: Cross multiply
    857,361x = 1,253,854.50 × 1,253,854.50
  4. Step 4: Simplify right side
    857,361x = 1,572,151,107,170.25
  5. Step 5: Solve for x
    x = 1,572,151,107,170.25/857,361
  6. Step 6: Final answer
    x = 1,833,709.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.