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Finding the Third Proportional to 798,491.25 and 1,731,742.88

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Solution

The third proportional to 798,491.25 and 1,731,742.88 is: 3,755,749.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,491.25 : 1,731,742.88 = 1,731,742.88 : x
  2. Step 2: Convert to fraction form
    798,491.25/1,731,742.88 = 1,731,742.88/x
  3. Step 3: Cross multiply
    798,491.25x = 1,731,742.88 × 1,731,742.88
  4. Step 4: Simplify right side
    798,491.25x = 2,998,933,385,113.27
  5. Step 5: Solve for x
    x = 2,998,933,385,113.27/798,491.25
  6. Step 6: Final answer
    x = 3,755,749.84

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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.