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Finding the Third Proportional to 701,408 and 1,084,848

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Solution

The third proportional to 701,408 and 1,084,848 is: 1,677,903.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,408 : 1,084,848 = 1,084,848 : x
  2. Step 2: Convert to fraction form
    701,408/1,084,848 = 1,084,848/x
  3. Step 3: Cross multiply
    701,408x = 1,084,848 × 1,084,848
  4. Step 4: Simplify right side
    701,408x = 1,176,895,183,104
  5. Step 5: Solve for x
    x = 1,176,895,183,104/701,408
  6. Step 6: Final answer
    x = 1,677,903.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.