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Finding the Third Proportional to 633,832 and 1,381,392

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Solution

The third proportional to 633,832 and 1,381,392 is: 3,010,646.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,832 : 1,381,392 = 1,381,392 : x
  2. Step 2: Convert to fraction form
    633,832/1,381,392 = 1,381,392/x
  3. Step 3: Cross multiply
    633,832x = 1,381,392 × 1,381,392
  4. Step 4: Simplify right side
    633,832x = 1,908,243,857,664
  5. Step 5: Solve for x
    x = 1,908,243,857,664/633,832
  6. Step 6: Final answer
    x = 3,010,646.13

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.