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Finding the Third Proportional to 641,738 and 1,374,579

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Solution

The third proportional to 641,738 and 1,374,579 is: 2,944,297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,738 : 1,374,579 = 1,374,579 : x
  2. Step 2: Convert to fraction form
    641,738/1,374,579 = 1,374,579/x
  3. Step 3: Cross multiply
    641,738x = 1,374,579 × 1,374,579
  4. Step 4: Simplify right side
    641,738x = 1,889,467,427,241
  5. Step 5: Solve for x
    x = 1,889,467,427,241/641,738
  6. Step 6: Final answer
    x = 2,944,297.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.