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Finding the Third Proportional to 2,032,771 and 2,787,314

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Solution

The third proportional to 2,032,771 and 2,787,314 is: 3,821,935.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032,771 : 2,787,314 = 2,787,314 : x
  2. Step 2: Convert to fraction form
    2,032,771/2,787,314 = 2,787,314/x
  3. Step 3: Cross multiply
    2,032,771x = 2,787,314 × 2,787,314
  4. Step 4: Simplify right side
    2,032,771x = 7,769,119,334,596
  5. Step 5: Solve for x
    x = 7,769,119,334,596/2,032,771
  6. Step 6: Final answer
    x = 3,821,935.35

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.