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Finding the Third Proportional to 1,681,201 and 3,482,027.75

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Solution

The third proportional to 1,681,201 and 3,482,027.75 is: 7,211,818.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,201 : 3,482,027.75 = 3,482,027.75 : x
  2. Step 2: Convert to fraction form
    1,681,201/3,482,027.75 = 3,482,027.75/x
  3. Step 3: Cross multiply
    1,681,201x = 3,482,027.75 × 3,482,027.75
  4. Step 4: Simplify right side
    1,681,201x = 12,124,517,251,770.06
  5. Step 5: Solve for x
    x = 12,124,517,251,770.06/1,681,201
  6. Step 6: Final answer
    x = 7,211,818.96

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.