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Finding the Third Proportional to 4,526,828 and 6,832,751

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Solution

The third proportional to 4,526,828 and 6,832,751 is: 10,313,289.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,526,828 : 6,832,751 = 6,832,751 : x
  2. Step 2: Convert to fraction form
    4,526,828/6,832,751 = 6,832,751/x
  3. Step 3: Cross multiply
    4,526,828x = 6,832,751 × 6,832,751
  4. Step 4: Simplify right side
    4,526,828x = 46,686,486,228,001
  5. Step 5: Solve for x
    x = 46,686,486,228,001/4,526,828
  6. Step 6: Final answer
    x = 10,313,289.18

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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.