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Finding the Third Proportional to 1,396,471 and 2,135,315

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Solution

The third proportional to 1,396,471 and 2,135,315 is: 3,265,066.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396,471 : 2,135,315 = 2,135,315 : x
  2. Step 2: Convert to fraction form
    1,396,471/2,135,315 = 2,135,315/x
  3. Step 3: Cross multiply
    1,396,471x = 2,135,315 × 2,135,315
  4. Step 4: Simplify right side
    1,396,471x = 4,559,570,149,225
  5. Step 5: Solve for x
    x = 4,559,570,149,225/1,396,471
  6. Step 6: Final answer
    x = 3,265,066.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.