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Finding the Third Proportional to 380,593 and 828,991

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Solution

The third proportional to 380,593 and 828,991 is: 1,805,671.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,593 : 828,991 = 828,991 : x
  2. Step 2: Convert to fraction form
    380,593/828,991 = 828,991/x
  3. Step 3: Cross multiply
    380,593x = 828,991 × 828,991
  4. Step 4: Simplify right side
    380,593x = 687,226,078,081
  5. Step 5: Solve for x
    x = 687,226,078,081/380,593
  6. Step 6: Final answer
    x = 1,805,671.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.