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Finding the Third Proportional to 1,061,286 and 1,633,224

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Solution

The third proportional to 1,061,286 and 1,633,224 is: 2,513,385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061,286 : 1,633,224 = 1,633,224 : x
  2. Step 2: Convert to fraction form
    1,061,286/1,633,224 = 1,633,224/x
  3. Step 3: Cross multiply
    1,061,286x = 1,633,224 × 1,633,224
  4. Step 4: Simplify right side
    1,061,286x = 2,667,420,634,176
  5. Step 5: Solve for x
    x = 2,667,420,634,176/1,061,286
  6. Step 6: Final answer
    x = 2,513,385.30

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.