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Finding the Third Proportional to 2,044,221 and 4,446,378

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Solution

The third proportional to 2,044,221 and 4,446,378 is: 9,671,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044,221 : 4,446,378 = 4,446,378 : x
  2. Step 2: Convert to fraction form
    2,044,221/4,446,378 = 4,446,378/x
  3. Step 3: Cross multiply
    2,044,221x = 4,446,378 × 4,446,378
  4. Step 4: Simplify right side
    2,044,221x = 19,770,277,318,884
  5. Step 5: Solve for x
    x = 19,770,277,318,884/2,044,221
  6. Step 6: Final answer
    x = 9,671,301.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.