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Finding the Third Proportional to 1,719,966 and 4,016,415

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Solution

The third proportional to 1,719,966 and 4,016,415 is: 9,379,016.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719,966 : 4,016,415 = 4,016,415 : x
  2. Step 2: Convert to fraction form
    1,719,966/4,016,415 = 4,016,415/x
  3. Step 3: Cross multiply
    1,719,966x = 4,016,415 × 4,016,415
  4. Step 4: Simplify right side
    1,719,966x = 16,131,589,452,225
  5. Step 5: Solve for x
    x = 16,131,589,452,225/1,719,966
  6. Step 6: Final answer
    x = 9,379,016.48

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.