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Finding the Third Proportional to 4,146,698 and 6,396,751

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Solution

The third proportional to 4,146,698 and 6,396,751 is: 9,867,712.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146,698 : 6,396,751 = 6,396,751 : x
  2. Step 2: Convert to fraction form
    4,146,698/6,396,751 = 6,396,751/x
  3. Step 3: Cross multiply
    4,146,698x = 6,396,751 × 6,396,751
  4. Step 4: Simplify right side
    4,146,698x = 40,918,423,356,001
  5. Step 5: Solve for x
    x = 40,918,423,356,001/4,146,698
  6. Step 6: Final answer
    x = 9,867,712.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.