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Finding the Third Proportional to 387,180 and 830,393

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Solution

The third proportional to 387,180 and 830,393 is: 1,780,961.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,180 : 830,393 = 830,393 : x
  2. Step 2: Convert to fraction form
    387,180/830,393 = 830,393/x
  3. Step 3: Cross multiply
    387,180x = 830,393 × 830,393
  4. Step 4: Simplify right side
    387,180x = 689,552,534,449
  5. Step 5: Solve for x
    x = 689,552,534,449/387,180
  6. Step 6: Final answer
    x = 1,780,961.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.