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Finding the Third Proportional to 1,277,175 and 1,963,689

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Solution

The third proportional to 1,277,175 and 1,963,689 is: 3,019,221.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,175 : 1,963,689 = 1,963,689 : x
  2. Step 2: Convert to fraction form
    1,277,175/1,963,689 = 1,963,689/x
  3. Step 3: Cross multiply
    1,277,175x = 1,963,689 × 1,963,689
  4. Step 4: Simplify right side
    1,277,175x = 3,856,074,488,721
  5. Step 5: Solve for x
    x = 3,856,074,488,721/1,277,175
  6. Step 6: Final answer
    x = 3,019,221.71

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.