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Finding the Third Proportional to 1,583,965 and 3,482,766

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Solution

The third proportional to 1,583,965 and 3,482,766 is: 7,657,782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,965 : 3,482,766 = 3,482,766 : x
  2. Step 2: Convert to fraction form
    1,583,965/3,482,766 = 3,482,766/x
  3. Step 3: Cross multiply
    1,583,965x = 3,482,766 × 3,482,766
  4. Step 4: Simplify right side
    1,583,965x = 12,129,659,010,756
  5. Step 5: Solve for x
    x = 12,129,659,010,756/1,583,965
  6. Step 6: Final answer
    x = 7,657,782.22

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.