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Finding the Third Proportional to 1,419,434 and 3,113,670

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Solution

The third proportional to 1,419,434 and 3,113,670 is: 6,830,145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,434 : 3,113,670 = 3,113,670 : x
  2. Step 2: Convert to fraction form
    1,419,434/3,113,670 = 3,113,670/x
  3. Step 3: Cross multiply
    1,419,434x = 3,113,670 × 3,113,670
  4. Step 4: Simplify right side
    1,419,434x = 9,694,940,868,900
  5. Step 5: Solve for x
    x = 9,694,940,868,900/1,419,434
  6. Step 6: Final answer
    x = 6,830,145.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.