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Finding the Third Proportional to 1,868,256 and 4,023,046.50

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Solution

The third proportional to 1,868,256 and 4,023,046.50 is: 8,663,107.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868,256 : 4,023,046.50 = 4,023,046.50 : x
  2. Step 2: Convert to fraction form
    1,868,256/4,023,046.50 = 4,023,046.50/x
  3. Step 3: Cross multiply
    1,868,256x = 4,023,046.50 × 4,023,046.50
  4. Step 4: Simplify right side
    1,868,256x = 16,184,903,141,162.25
  5. Step 5: Solve for x
    x = 16,184,903,141,162.25/1,868,256
  6. Step 6: Final answer
    x = 8,663,107.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.