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Finding the Third Proportional to 2,592,405 and 5,680,725.75

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Solution

The third proportional to 2,592,405 and 5,680,725.75 is: 12,448,149.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592,405 : 5,680,725.75 = 5,680,725.75 : x
  2. Step 2: Convert to fraction form
    2,592,405/5,680,725.75 = 5,680,725.75/x
  3. Step 3: Cross multiply
    2,592,405x = 5,680,725.75 × 5,680,725.75
  4. Step 4: Simplify right side
    2,592,405x = 32,270,645,046,713.06
  5. Step 5: Solve for x
    x = 32,270,645,046,713.06/2,592,405
  6. Step 6: Final answer
    x = 12,448,149.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.