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Finding the Third Proportional to 1,032,223 and 2,137,027

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Solution

The third proportional to 1,032,223 and 2,137,027 is: 4,424,319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,223 : 2,137,027 = 2,137,027 : x
  2. Step 2: Convert to fraction form
    1,032,223/2,137,027 = 2,137,027/x
  3. Step 3: Cross multiply
    1,032,223x = 2,137,027 × 2,137,027
  4. Step 4: Simplify right side
    1,032,223x = 4,566,884,398,729
  5. Step 5: Solve for x
    x = 4,566,884,398,729/1,032,223
  6. Step 6: Final answer
    x = 4,424,319.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.