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Finding the Third Proportional to 948,240 and 2,238,408

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Solution

The third proportional to 948,240 and 2,238,408 is: 5,283,968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,240 : 2,238,408 = 2,238,408 : x
  2. Step 2: Convert to fraction form
    948,240/2,238,408 = 2,238,408/x
  3. Step 3: Cross multiply
    948,240x = 2,238,408 × 2,238,408
  4. Step 4: Simplify right side
    948,240x = 5,010,470,374,464
  5. Step 5: Solve for x
    x = 5,010,470,374,464/948,240
  6. Step 6: Final answer
    x = 5,283,968.59

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.