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Finding the Third Proportional to 387,086 and 836,454

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Solution

The third proportional to 387,086 and 836,454 is: 1,807,493.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,086 : 836,454 = 836,454 : x
  2. Step 2: Convert to fraction form
    387,086/836,454 = 836,454/x
  3. Step 3: Cross multiply
    387,086x = 836,454 × 836,454
  4. Step 4: Simplify right side
    387,086x = 699,655,294,116
  5. Step 5: Solve for x
    x = 699,655,294,116/387,086
  6. Step 6: Final answer
    x = 1,807,493.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.