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Finding the Third Proportional to 387,126 and 833,577

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Solution

The third proportional to 387,126 and 833,577 is: 1,794,895.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,126 : 833,577 = 833,577 : x
  2. Step 2: Convert to fraction form
    387,126/833,577 = 833,577/x
  3. Step 3: Cross multiply
    387,126x = 833,577 × 833,577
  4. Step 4: Simplify right side
    387,126x = 694,850,614,929
  5. Step 5: Solve for x
    x = 694,850,614,929/387,126
  6. Step 6: Final answer
    x = 1,794,895.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.