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Finding the Third Proportional to 1,990,414.13 and 3,002,114.81

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Solution

The third proportional to 1,990,414.13 and 3,002,114.81 is: 4,528,049.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990,414.13 : 3,002,114.81 = 3,002,114.81 : x
  2. Step 2: Convert to fraction form
    1,990,414.13/3,002,114.81 = 3,002,114.81/x
  3. Step 3: Cross multiply
    1,990,414.13x = 3,002,114.81 × 3,002,114.81
  4. Step 4: Simplify right side
    1,990,414.13x = 9,012,693,347,431.91
  5. Step 5: Solve for x
    x = 9,012,693,347,431.91/1,990,414.13
  6. Step 6: Final answer
    x = 4,528,049.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.