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Finding the Third Proportional to 970,218 and 2,040,990.75

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Solution

The third proportional to 970,218 and 2,040,990.75 is: 4,293,512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,218 : 2,040,990.75 = 2,040,990.75 : x
  2. Step 2: Convert to fraction form
    970,218/2,040,990.75 = 2,040,990.75/x
  3. Step 3: Cross multiply
    970,218x = 2,040,990.75 × 2,040,990.75
  4. Step 4: Simplify right side
    970,218x = 4,165,643,241,585.56
  5. Step 5: Solve for x
    x = 4,165,643,241,585.56/970,218
  6. Step 6: Final answer
    x = 4,293,512.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.