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Finding the Third Proportional to 739,408 and 1,513,848

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Solution

The third proportional to 739,408 and 1,513,848 is: 3,099,419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,408 : 1,513,848 = 1,513,848 : x
  2. Step 2: Convert to fraction form
    739,408/1,513,848 = 1,513,848/x
  3. Step 3: Cross multiply
    739,408x = 1,513,848 × 1,513,848
  4. Step 4: Simplify right side
    739,408x = 2,291,735,767,104
  5. Step 5: Solve for x
    x = 2,291,735,767,104/739,408
  6. Step 6: Final answer
    x = 3,099,419.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.