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Finding the Third Proportional to 1,684,878 and 3,690,252.75

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Solution

The third proportional to 1,684,878 and 3,690,252.75 is: 8,082,463.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,878 : 3,690,252.75 = 3,690,252.75 : x
  2. Step 2: Convert to fraction form
    1,684,878/3,690,252.75 = 3,690,252.75/x
  3. Step 3: Cross multiply
    1,684,878x = 3,690,252.75 × 3,690,252.75
  4. Step 4: Simplify right side
    1,684,878x = 13,617,965,358,882.56
  5. Step 5: Solve for x
    x = 13,617,965,358,882.56/1,684,878
  6. Step 6: Final answer
    x = 8,082,463.75

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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.