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Finding the Third Proportional to 6,434,189 and 9,454,272

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Solution

The third proportional to 6,434,189 and 9,454,272 is: 13,891,923.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434,189 : 9,454,272 = 9,454,272 : x
  2. Step 2: Convert to fraction form
    6,434,189/9,454,272 = 9,454,272/x
  3. Step 3: Cross multiply
    6,434,189x = 9,454,272 × 9,454,272
  4. Step 4: Simplify right side
    6,434,189x = 89,383,259,049,984
  5. Step 5: Solve for x
    x = 89,383,259,049,984/6,434,189
  6. Step 6: Final answer
    x = 13,891,923.14

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.