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Finding the Third Proportional to 4,488,910 and 6,964,940

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Solution

The third proportional to 4,488,910 and 6,964,940 is: 10,806,719.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488,910 : 6,964,940 = 6,964,940 : x
  2. Step 2: Convert to fraction form
    4,488,910/6,964,940 = 6,964,940/x
  3. Step 3: Cross multiply
    4,488,910x = 6,964,940 × 6,964,940
  4. Step 4: Simplify right side
    4,488,910x = 48,510,389,203,600
  5. Step 5: Solve for x
    x = 48,510,389,203,600/4,488,910
  6. Step 6: Final answer
    x = 10,806,719.05

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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.