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Finding the Third Proportional to 815,936 and 1,767,424

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Solution

The third proportional to 815,936 and 1,767,424 is: 3,828,471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,936 : 1,767,424 = 1,767,424 : x
  2. Step 2: Convert to fraction form
    815,936/1,767,424 = 1,767,424/x
  3. Step 3: Cross multiply
    815,936x = 1,767,424 × 1,767,424
  4. Step 4: Simplify right side
    815,936x = 3,123,787,595,776
  5. Step 5: Solve for x
    x = 3,123,787,595,776/815,936
  6. Step 6: Final answer
    x = 3,828,471.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.