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Finding the Third Proportional to 1,027,378 and 1,363,215

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Solution

The third proportional to 1,027,378 and 1,363,215 is: 1,808,832.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027,378 : 1,363,215 = 1,363,215 : x
  2. Step 2: Convert to fraction form
    1,027,378/1,363,215 = 1,363,215/x
  3. Step 3: Cross multiply
    1,027,378x = 1,363,215 × 1,363,215
  4. Step 4: Simplify right side
    1,027,378x = 1,858,355,136,225
  5. Step 5: Solve for x
    x = 1,858,355,136,225/1,027,378
  6. Step 6: Final answer
    x = 1,808,832.91

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.