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Finding the Third Proportional to 4,217,770 and 6,385,805

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Solution

The third proportional to 4,217,770 and 6,385,805 is: 9,668,262.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217,770 : 6,385,805 = 6,385,805 : x
  2. Step 2: Convert to fraction form
    4,217,770/6,385,805 = 6,385,805/x
  3. Step 3: Cross multiply
    4,217,770x = 6,385,805 × 6,385,805
  4. Step 4: Simplify right side
    4,217,770x = 40,778,505,498,025
  5. Step 5: Solve for x
    x = 40,778,505,498,025/4,217,770
  6. Step 6: Final answer
    x = 9,668,262.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.