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Finding the Third Proportional to 3,453,013 and 5,416,758

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Solution

The third proportional to 3,453,013 and 5,416,758 is: 8,497,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453,013 : 5,416,758 = 5,416,758 : x
  2. Step 2: Convert to fraction form
    3,453,013/5,416,758 = 5,416,758/x
  3. Step 3: Cross multiply
    3,453,013x = 5,416,758 × 5,416,758
  4. Step 4: Simplify right side
    3,453,013x = 29,341,267,230,564
  5. Step 5: Solve for x
    x = 29,341,267,230,564/3,453,013
  6. Step 6: Final answer
    x = 8,497,294.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.