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Finding the Third Proportional to 474,351.75 and 1,024,416

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Solution

The third proportional to 474,351.75 and 1,024,416 is: 2,212,341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,351.75 : 1,024,416 = 1,024,416 : x
  2. Step 2: Convert to fraction form
    474,351.75/1,024,416 = 1,024,416/x
  3. Step 3: Cross multiply
    474,351.75x = 1,024,416 × 1,024,416
  4. Step 4: Simplify right side
    474,351.75x = 1,049,428,141,056
  5. Step 5: Solve for x
    x = 1,049,428,141,056/474,351.75
  6. Step 6: Final answer
    x = 2,212,341.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.