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Finding the Third Proportional to 1,530,162 and 2,361,078

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Solution

The third proportional to 1,530,162 and 2,361,078 is: 3,643,202.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530,162 : 2,361,078 = 2,361,078 : x
  2. Step 2: Convert to fraction form
    1,530,162/2,361,078 = 2,361,078/x
  3. Step 3: Cross multiply
    1,530,162x = 2,361,078 × 2,361,078
  4. Step 4: Simplify right side
    1,530,162x = 5,574,689,322,084
  5. Step 5: Solve for x
    x = 5,574,689,322,084/1,530,162
  6. Step 6: Final answer
    x = 3,643,202.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.