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Finding the Third Proportional to 407,115 and 870,137.25

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Solution

The third proportional to 407,115 and 870,137.25 is: 1,859,766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,115 : 870,137.25 = 870,137.25 : x
  2. Step 2: Convert to fraction form
    407,115/870,137.25 = 870,137.25/x
  3. Step 3: Cross multiply
    407,115x = 870,137.25 × 870,137.25
  4. Step 4: Simplify right side
    407,115x = 757,138,833,837.56
  5. Step 5: Solve for x
    x = 757,138,833,837.56/407,115
  6. Step 6: Final answer
    x = 1,859,766.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.