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Finding the Third Proportional to 405,705 and 865,689

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Solution

The third proportional to 405,705 and 865,689 is: 1,847,197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,705 : 865,689 = 865,689 : x
  2. Step 2: Convert to fraction form
    405,705/865,689 = 865,689/x
  3. Step 3: Cross multiply
    405,705x = 865,689 × 865,689
  4. Step 4: Simplify right side
    405,705x = 749,417,444,721
  5. Step 5: Solve for x
    x = 749,417,444,721/405,705
  6. Step 6: Final answer
    x = 1,847,197.95

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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.