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Finding the Third Proportional to 948,709.13 and 2,054,882.25

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Solution

The third proportional to 948,709.13 and 2,054,882.25 is: 4,450,827.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,709.13 : 2,054,882.25 = 2,054,882.25 : x
  2. Step 2: Convert to fraction form
    948,709.13/2,054,882.25 = 2,054,882.25/x
  3. Step 3: Cross multiply
    948,709.13x = 2,054,882.25 × 2,054,882.25
  4. Step 4: Simplify right side
    948,709.13x = 4,222,541,061,365.06
  5. Step 5: Solve for x
    x = 4,222,541,061,365.06/948,709.13
  6. Step 6: Final answer
    x = 4,450,827.92

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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.