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Finding the Third Proportional to 1,830,727 and 3,828,759

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Solution

The third proportional to 1,830,727 and 3,828,759 is: 8,007,417.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830,727 : 3,828,759 = 3,828,759 : x
  2. Step 2: Convert to fraction form
    1,830,727/3,828,759 = 3,828,759/x
  3. Step 3: Cross multiply
    1,830,727x = 3,828,759 × 3,828,759
  4. Step 4: Simplify right side
    1,830,727x = 14,659,395,480,081
  5. Step 5: Solve for x
    x = 14,659,395,480,081/1,830,727
  6. Step 6: Final answer
    x = 8,007,417.53

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.