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Finding the Third Proportional to 2,005,780 and 4,232,960

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Solution

The third proportional to 2,005,780 and 4,232,960 is: 8,933,158.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,780 : 4,232,960 = 4,232,960 : x
  2. Step 2: Convert to fraction form
    2,005,780/4,232,960 = 4,232,960/x
  3. Step 3: Cross multiply
    2,005,780x = 4,232,960 × 4,232,960
  4. Step 4: Simplify right side
    2,005,780x = 17,917,950,361,600
  5. Step 5: Solve for x
    x = 17,917,950,361,600/2,005,780
  6. Step 6: Final answer
    x = 8,933,158.35

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.