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Finding the Third Proportional to 3,398,253.75 and 5,146,734.94

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Solution

The third proportional to 3,398,253.75 and 5,146,734.94 is: 7,794,850.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398,253.75 : 5,146,734.94 = 5,146,734.94 : x
  2. Step 2: Convert to fraction form
    3,398,253.75/5,146,734.94 = 5,146,734.94/x
  3. Step 3: Cross multiply
    3,398,253.75x = 5,146,734.94 × 5,146,734.94
  4. Step 4: Simplify right side
    3,398,253.75x = 26,488,880,516,883.13
  5. Step 5: Solve for x
    x = 26,488,880,516,883.13/3,398,253.75
  6. Step 6: Final answer
    x = 7,794,850.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.