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Finding the Third Proportional to 1,344,002 and 2,845,408

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Solution

The third proportional to 1,344,002 and 2,845,408 is: 6,024,058.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344,002 : 2,845,408 = 2,845,408 : x
  2. Step 2: Convert to fraction form
    1,344,002/2,845,408 = 2,845,408/x
  3. Step 3: Cross multiply
    1,344,002x = 2,845,408 × 2,845,408
  4. Step 4: Simplify right side
    1,344,002x = 8,096,346,686,464
  5. Step 5: Solve for x
    x = 8,096,346,686,464/1,344,002
  6. Step 6: Final answer
    x = 6,024,058.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.