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Finding the Third Proportional to 1,282,402.13 and 2,001,241.69

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Solution

The third proportional to 1,282,402.13 and 2,001,241.69 is: 3,123,020.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282,402.13 : 2,001,241.69 = 2,001,241.69 : x
  2. Step 2: Convert to fraction form
    1,282,402.13/2,001,241.69 = 2,001,241.69/x
  3. Step 3: Cross multiply
    1,282,402.13x = 2,001,241.69 × 2,001,241.69
  4. Step 4: Simplify right side
    1,282,402.13x = 4,004,968,291,787.85
  5. Step 5: Solve for x
    x = 4,004,968,291,787.85/1,282,402.13
  6. Step 6: Final answer
    x = 3,123,020.63

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.