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Finding the Third Proportional to 2,237,738 and 3,441,549

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Solution

The third proportional to 2,237,738 and 3,441,549 is: 5,292,960.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237,738 : 3,441,549 = 3,441,549 : x
  2. Step 2: Convert to fraction form
    2,237,738/3,441,549 = 3,441,549/x
  3. Step 3: Cross multiply
    2,237,738x = 3,441,549 × 3,441,549
  4. Step 4: Simplify right side
    2,237,738x = 11,844,259,519,401
  5. Step 5: Solve for x
    x = 11,844,259,519,401/2,237,738
  6. Step 6: Final answer
    x = 5,292,960.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.