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Finding the Third Proportional to 1,952,580.94 and 4,241,003.06

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Solution

The third proportional to 1,952,580.94 and 4,241,003.06 is: 9,211,452.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952,580.94 : 4,241,003.06 = 4,241,003.06 : x
  2. Step 2: Convert to fraction form
    1,952,580.94/4,241,003.06 = 4,241,003.06/x
  3. Step 3: Cross multiply
    1,952,580.94x = 4,241,003.06 × 4,241,003.06
  4. Step 4: Simplify right side
    1,952,580.94x = 17,986,106,976,134.38
  5. Step 5: Solve for x
    x = 17,986,106,976,134.38/1,952,580.94
  6. Step 6: Final answer
    x = 9,211,452.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.