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Finding the Third Proportional to 997,575.75 and 2,144,819.25

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Solution

The third proportional to 997,575.75 and 2,144,819.25 is: 4,611,428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,575.75 : 2,144,819.25 = 2,144,819.25 : x
  2. Step 2: Convert to fraction form
    997,575.75/2,144,819.25 = 2,144,819.25/x
  3. Step 3: Cross multiply
    997,575.75x = 2,144,819.25 × 2,144,819.25
  4. Step 4: Simplify right side
    997,575.75x = 4,600,249,615,170.56
  5. Step 5: Solve for x
    x = 4,600,249,615,170.56/997,575.75
  6. Step 6: Final answer
    x = 4,611,428.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.