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Finding the Third Proportional to 948,744 and 2,082,068

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Solution

The third proportional to 948,744 and 2,082,068 is: 4,569,206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,744 : 2,082,068 = 2,082,068 : x
  2. Step 2: Convert to fraction form
    948,744/2,082,068 = 2,082,068/x
  3. Step 3: Cross multiply
    948,744x = 2,082,068 × 2,082,068
  4. Step 4: Simplify right side
    948,744x = 4,335,007,156,624
  5. Step 5: Solve for x
    x = 4,335,007,156,624/948,744
  6. Step 6: Final answer
    x = 4,569,206.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.