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Finding the Third Proportional to 1,081,692.50 and 2,308,165

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Solution

The third proportional to 1,081,692.50 and 2,308,165 is: 4,925,268.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081,692.50 : 2,308,165 = 2,308,165 : x
  2. Step 2: Convert to fraction form
    1,081,692.50/2,308,165 = 2,308,165/x
  3. Step 3: Cross multiply
    1,081,692.50x = 2,308,165 × 2,308,165
  4. Step 4: Simplify right side
    1,081,692.50x = 5,327,625,667,225
  5. Step 5: Solve for x
    x = 5,327,625,667,225/1,081,692.50
  6. Step 6: Final answer
    x = 4,925,268.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.