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Finding the Third Proportional to 935,826 and 1,915,905

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Solution

The third proportional to 935,826 and 1,915,905 is: 3,922,408.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,826 : 1,915,905 = 1,915,905 : x
  2. Step 2: Convert to fraction form
    935,826/1,915,905 = 1,915,905/x
  3. Step 3: Cross multiply
    935,826x = 1,915,905 × 1,915,905
  4. Step 4: Simplify right side
    935,826x = 3,670,691,969,025
  5. Step 5: Solve for x
    x = 3,670,691,969,025/935,826
  6. Step 6: Final answer
    x = 3,922,408.62

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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.