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Finding the Third Proportional to 1,001,735 and 2,227,408

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Solution

The third proportional to 1,001,735 and 2,227,408 is: 4,952,753.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,735 : 2,227,408 = 2,227,408 : x
  2. Step 2: Convert to fraction form
    1,001,735/2,227,408 = 2,227,408/x
  3. Step 3: Cross multiply
    1,001,735x = 2,227,408 × 2,227,408
  4. Step 4: Simplify right side
    1,001,735x = 4,961,346,398,464
  5. Step 5: Solve for x
    x = 4,961,346,398,464/1,001,735
  6. Step 6: Final answer
    x = 4,952,753.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.