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Finding the Third Proportional to 4,488,912 and 6,964,943

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Solution

The third proportional to 4,488,912 and 6,964,943 is: 10,806,723.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488,912 : 6,964,943 = 6,964,943 : x
  2. Step 2: Convert to fraction form
    4,488,912/6,964,943 = 6,964,943/x
  3. Step 3: Cross multiply
    4,488,912x = 6,964,943 × 6,964,943
  4. Step 4: Simplify right side
    4,488,912x = 48,510,430,993,249
  5. Step 5: Solve for x
    x = 48,510,430,993,249/4,488,912
  6. Step 6: Final answer
    x = 10,806,723.54

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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.