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Finding the Third Proportional to 4,488,900 and 6,964,920

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Solution

The third proportional to 4,488,900 and 6,964,920 is: 10,806,681.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488,900 : 6,964,920 = 6,964,920 : x
  2. Step 2: Convert to fraction form
    4,488,900/6,964,920 = 6,964,920/x
  3. Step 3: Cross multiply
    4,488,900x = 6,964,920 × 6,964,920
  4. Step 4: Simplify right side
    4,488,900x = 48,510,110,606,400
  5. Step 5: Solve for x
    x = 48,510,110,606,400/4,488,900
  6. Step 6: Final answer
    x = 10,806,681.06

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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.