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Finding the Third Proportional to 1,530,164 and 2,361,081

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Solution

The third proportional to 1,530,164 and 2,361,081 is: 3,643,206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530,164 : 2,361,081 = 2,361,081 : x
  2. Step 2: Convert to fraction form
    1,530,164/2,361,081 = 2,361,081/x
  3. Step 3: Cross multiply
    1,530,164x = 2,361,081 × 2,361,081
  4. Step 4: Simplify right side
    1,530,164x = 5,574,703,488,561
  5. Step 5: Solve for x
    x = 5,574,703,488,561/1,530,164
  6. Step 6: Final answer
    x = 3,643,206.54

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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.