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Finding the Third Proportional to 387,451 and 836,066

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Solution

The third proportional to 387,451 and 836,066 is: 1,804,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,451 : 836,066 = 836,066 : x
  2. Step 2: Convert to fraction form
    387,451/836,066 = 836,066/x
  3. Step 3: Cross multiply
    387,451x = 836,066 × 836,066
  4. Step 4: Simplify right side
    387,451x = 699,006,356,356
  5. Step 5: Solve for x
    x = 699,006,356,356/387,451
  6. Step 6: Final answer
    x = 1,804,115.50

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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.