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Finding the Third Proportional to 414,583 and 870,961

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Solution

The third proportional to 414,583 and 870,961 is: 1,829,725.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,583 : 870,961 = 870,961 : x
  2. Step 2: Convert to fraction form
    414,583/870,961 = 870,961/x
  3. Step 3: Cross multiply
    414,583x = 870,961 × 870,961
  4. Step 4: Simplify right side
    414,583x = 758,573,063,521
  5. Step 5: Solve for x
    x = 758,573,063,521/414,583
  6. Step 6: Final answer
    x = 1,829,725.44

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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.