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Finding the Third Proportional to 795,040 and 1,189,408

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Solution

The third proportional to 795,040 and 1,189,408 is: 1,779,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,040 : 1,189,408 = 1,189,408 : x
  2. Step 2: Convert to fraction form
    795,040/1,189,408 = 1,189,408/x
  3. Step 3: Cross multiply
    795,040x = 1,189,408 × 1,189,408
  4. Step 4: Simplify right side
    795,040x = 1,414,691,390,464
  5. Step 5: Solve for x
    x = 1,414,691,390,464/795,040
  6. Step 6: Final answer
    x = 1,779,396.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.