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Finding the Third Proportional to 468,633.09 and 1,008,465.19

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Solution

The third proportional to 468,633.09 and 1,008,465.19 is: 2,170,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,633.09 : 1,008,465.19 = 1,008,465.19 : x
  2. Step 2: Convert to fraction form
    468,633.09/1,008,465.19 = 1,008,465.19/x
  3. Step 3: Cross multiply
    468,633.09x = 1,008,465.19 × 1,008,465.19
  4. Step 4: Simplify right side
    468,633.09x = 1,017,002,034,399.41
  5. Step 5: Solve for x
    x = 1,017,002,034,399.41/468,633.09
  6. Step 6: Final answer
    x = 2,170,145.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.