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Finding the Third Proportional to 800,494 and 1,750,309

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Solution

The third proportional to 800,494 and 1,750,309 is: 3,827,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,494 : 1,750,309 = 1,750,309 : x
  2. Step 2: Convert to fraction form
    800,494/1,750,309 = 1,750,309/x
  3. Step 3: Cross multiply
    800,494x = 1,750,309 × 1,750,309
  4. Step 4: Simplify right side
    800,494x = 3,063,581,595,481
  5. Step 5: Solve for x
    x = 3,063,581,595,481/800,494
  6. Step 6: Final answer
    x = 3,827,113.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.