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Finding the Third Proportional to 3,221,462 and 4,506,204

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Solution

The third proportional to 3,221,462 and 4,506,204 is: 6,303,310.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221,462 : 4,506,204 = 4,506,204 : x
  2. Step 2: Convert to fraction form
    3,221,462/4,506,204 = 4,506,204/x
  3. Step 3: Cross multiply
    3,221,462x = 4,506,204 × 4,506,204
  4. Step 4: Simplify right side
    3,221,462x = 20,305,874,489,616
  5. Step 5: Solve for x
    x = 20,305,874,489,616/3,221,462
  6. Step 6: Final answer
    x = 6,303,310.26

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.