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Finding the Third Proportional to 842,248.50 and 1,826,367

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Solution

The third proportional to 842,248.50 and 1,826,367 is: 3,960,370.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,248.50 : 1,826,367 = 1,826,367 : x
  2. Step 2: Convert to fraction form
    842,248.50/1,826,367 = 1,826,367/x
  3. Step 3: Cross multiply
    842,248.50x = 1,826,367 × 1,826,367
  4. Step 4: Simplify right side
    842,248.50x = 3,335,616,418,689
  5. Step 5: Solve for x
    x = 3,335,616,418,689/842,248.50
  6. Step 6: Final answer
    x = 3,960,370.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.