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Finding the Third Proportional to 798,634.50 and 1,744,647

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Solution

The third proportional to 798,634.50 and 1,744,647 is: 3,811,246.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,634.50 : 1,744,647 = 1,744,647 : x
  2. Step 2: Convert to fraction form
    798,634.50/1,744,647 = 1,744,647/x
  3. Step 3: Cross multiply
    798,634.50x = 1,744,647 × 1,744,647
  4. Step 4: Simplify right side
    798,634.50x = 3,043,793,154,609
  5. Step 5: Solve for x
    x = 3,043,793,154,609/798,634.50
  6. Step 6: Final answer
    x = 3,811,246.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.