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Finding the Third Proportional to 1,018,224 and 2,138,832

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Solution

The third proportional to 1,018,224 and 2,138,832 is: 4,492,726.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018,224 : 2,138,832 = 2,138,832 : x
  2. Step 2: Convert to fraction form
    1,018,224/2,138,832 = 2,138,832/x
  3. Step 3: Cross multiply
    1,018,224x = 2,138,832 × 2,138,832
  4. Step 4: Simplify right side
    1,018,224x = 4,574,602,324,224
  5. Step 5: Solve for x
    x = 4,574,602,324,224/1,018,224
  6. Step 6: Final answer
    x = 4,492,726.87

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.