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Finding the Third Proportional to 1,923,816 and 2,705,811

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Solution

The third proportional to 1,923,816 and 2,705,811 is: 3,805,672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923,816 : 2,705,811 = 2,705,811 : x
  2. Step 2: Convert to fraction form
    1,923,816/2,705,811 = 2,705,811/x
  3. Step 3: Cross multiply
    1,923,816x = 2,705,811 × 2,705,811
  4. Step 4: Simplify right side
    1,923,816x = 7,321,413,167,721
  5. Step 5: Solve for x
    x = 7,321,413,167,721/1,923,816
  6. Step 6: Final answer
    x = 3,805,672.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.