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Finding the Third Proportional to 407,706.75 and 921,115.13

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Solution

The third proportional to 407,706.75 and 921,115.13 is: 2,081,037.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,706.75 : 921,115.13 = 921,115.13 : x
  2. Step 2: Convert to fraction form
    407,706.75/921,115.13 = 921,115.13/x
  3. Step 3: Cross multiply
    407,706.75x = 921,115.13 × 921,115.13
  4. Step 4: Simplify right side
    407,706.75x = 848,453,073,503.77
  5. Step 5: Solve for x
    x = 848,453,073,503.77/407,706.75
  6. Step 6: Final answer
    x = 2,081,037.59

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.