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Finding the Third Proportional to 393,936 and 864,462

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Solution

The third proportional to 393,936 and 864,462 is: 1,896,994.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,936 : 864,462 = 864,462 : x
  2. Step 2: Convert to fraction form
    393,936/864,462 = 864,462/x
  3. Step 3: Cross multiply
    393,936x = 864,462 × 864,462
  4. Step 4: Simplify right side
    393,936x = 747,294,549,444
  5. Step 5: Solve for x
    x = 747,294,549,444/393,936
  6. Step 6: Final answer
    x = 1,896,994.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.