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Finding the Third Proportional to 933,409 and 2,035,756

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Solution

The third proportional to 933,409 and 2,035,756 is: 4,439,964.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,409 : 2,035,756 = 2,035,756 : x
  2. Step 2: Convert to fraction form
    933,409/2,035,756 = 2,035,756/x
  3. Step 3: Cross multiply
    933,409x = 2,035,756 × 2,035,756
  4. Step 4: Simplify right side
    933,409x = 4,144,302,491,536
  5. Step 5: Solve for x
    x = 4,144,302,491,536/933,409
  6. Step 6: Final answer
    x = 4,439,964.14

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Why These Related Problems?

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