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Finding the Third Proportional to 405,651 and 865,593

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Solution

The third proportional to 405,651 and 865,593 is: 1,847,034.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,651 : 865,593 = 865,593 : x
  2. Step 2: Convert to fraction form
    405,651/865,593 = 865,593/x
  3. Step 3: Cross multiply
    405,651x = 865,593 × 865,593
  4. Step 4: Simplify right side
    405,651x = 749,251,241,649
  5. Step 5: Solve for x
    x = 749,251,241,649/405,651
  6. Step 6: Final answer
    x = 1,847,034.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.