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Finding the Third Proportional to 1,434,375 and 3,121,119

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Solution

The third proportional to 1,434,375 and 3,121,119 is: 6,791,378.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434,375 : 3,121,119 = 3,121,119 : x
  2. Step 2: Convert to fraction form
    1,434,375/3,121,119 = 3,121,119/x
  3. Step 3: Cross multiply
    1,434,375x = 3,121,119 × 3,121,119
  4. Step 4: Simplify right side
    1,434,375x = 9,741,383,812,161
  5. Step 5: Solve for x
    x = 9,741,383,812,161/1,434,375
  6. Step 6: Final answer
    x = 6,791,378.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.