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Finding the Third Proportional to 4,488,948 and 6,964,992

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Solution

The third proportional to 4,488,948 and 6,964,992 is: 10,806,788.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488,948 : 6,964,992 = 6,964,992 : x
  2. Step 2: Convert to fraction form
    4,488,948/6,964,992 = 6,964,992/x
  3. Step 3: Cross multiply
    4,488,948x = 6,964,992 × 6,964,992
  4. Step 4: Simplify right side
    4,488,948x = 48,511,113,560,064
  5. Step 5: Solve for x
    x = 48,511,113,560,064/4,488,948
  6. Step 6: Final answer
    x = 10,806,788.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.