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Finding the Third Proportional to 1,204,221 and 1,976,910

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Solution

The third proportional to 1,204,221 and 1,976,910 is: 3,245,395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,221 : 1,976,910 = 1,976,910 : x
  2. Step 2: Convert to fraction form
    1,204,221/1,976,910 = 1,976,910/x
  3. Step 3: Cross multiply
    1,204,221x = 1,976,910 × 1,976,910
  4. Step 4: Simplify right side
    1,204,221x = 3,908,173,148,100
  5. Step 5: Solve for x
    x = 3,908,173,148,100/1,204,221
  6. Step 6: Final answer
    x = 3,245,395.28

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.