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Finding the Third Proportional to 1,906,297 and 2,971,983

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Solution

The third proportional to 1,906,297 and 2,971,983 is: 4,633,424.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906,297 : 2,971,983 = 2,971,983 : x
  2. Step 2: Convert to fraction form
    1,906,297/2,971,983 = 2,971,983/x
  3. Step 3: Cross multiply
    1,906,297x = 2,971,983 × 2,971,983
  4. Step 4: Simplify right side
    1,906,297x = 8,832,682,952,289
  5. Step 5: Solve for x
    x = 8,832,682,952,289/1,906,297
  6. Step 6: Final answer
    x = 4,633,424.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.