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Finding the Third Proportional to 824,907 and 1,207,827

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Solution

The third proportional to 824,907 and 1,207,827 is: 1,768,497.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,907 : 1,207,827 = 1,207,827 : x
  2. Step 2: Convert to fraction form
    824,907/1,207,827 = 1,207,827/x
  3. Step 3: Cross multiply
    824,907x = 1,207,827 × 1,207,827
  4. Step 4: Simplify right side
    824,907x = 1,458,846,061,929
  5. Step 5: Solve for x
    x = 1,458,846,061,929/824,907
  6. Step 6: Final answer
    x = 1,768,497.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.