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Finding the Third Proportional to 4,488,922 and 6,964,964

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Solution

The third proportional to 4,488,922 and 6,964,964 is: 10,806,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488,922 : 6,964,964 = 6,964,964 : x
  2. Step 2: Convert to fraction form
    4,488,922/6,964,964 = 6,964,964/x
  3. Step 3: Cross multiply
    4,488,922x = 6,964,964 × 6,964,964
  4. Step 4: Simplify right side
    4,488,922x = 48,510,723,521,296
  5. Step 5: Solve for x
    x = 48,510,723,521,296/4,488,922
  6. Step 6: Final answer
    x = 10,806,764.64

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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.