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Finding the Third Proportional to 905,742 and 1,938,330

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Solution

The third proportional to 905,742 and 1,938,330 is: 4,148,116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,742 : 1,938,330 = 1,938,330 : x
  2. Step 2: Convert to fraction form
    905,742/1,938,330 = 1,938,330/x
  3. Step 3: Cross multiply
    905,742x = 1,938,330 × 1,938,330
  4. Step 4: Simplify right side
    905,742x = 3,757,123,188,900
  5. Step 5: Solve for x
    x = 3,757,123,188,900/905,742
  6. Step 6: Final answer
    x = 4,148,116.34

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.