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Finding the Third Proportional to 1,109,225.25 and 2,330,520.75

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Solution

The third proportional to 1,109,225.25 and 2,330,520.75 is: 4,896,504.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,225.25 : 2,330,520.75 = 2,330,520.75 : x
  2. Step 2: Convert to fraction form
    1,109,225.25/2,330,520.75 = 2,330,520.75/x
  3. Step 3: Cross multiply
    1,109,225.25x = 2,330,520.75 × 2,330,520.75
  4. Step 4: Simplify right side
    1,109,225.25x = 5,431,326,966,180.56
  5. Step 5: Solve for x
    x = 5,431,326,966,180.56/1,109,225.25
  6. Step 6: Final answer
    x = 4,896,504.99

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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.