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Finding the Third Proportional to 673,819.50 and 1,459,692

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Solution

The third proportional to 673,819.50 and 1,459,692 is: 3,162,123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,819.50 : 1,459,692 = 1,459,692 : x
  2. Step 2: Convert to fraction form
    673,819.50/1,459,692 = 1,459,692/x
  3. Step 3: Cross multiply
    673,819.50x = 1,459,692 × 1,459,692
  4. Step 4: Simplify right side
    673,819.50x = 2,130,700,734,864
  5. Step 5: Solve for x
    x = 2,130,700,734,864/673,819.50
  6. Step 6: Final answer
    x = 3,162,123.88

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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.