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Finding the Third Proportional to 538,840 and 836,700

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Solution

The third proportional to 538,840 and 836,700 is: 1,299,211.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,840 : 836,700 = 836,700 : x
  2. Step 2: Convert to fraction form
    538,840/836,700 = 836,700/x
  3. Step 3: Cross multiply
    538,840x = 836,700 × 836,700
  4. Step 4: Simplify right side
    538,840x = 700,066,890,000
  5. Step 5: Solve for x
    x = 700,066,890,000/538,840
  6. Step 6: Final answer
    x = 1,299,211.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.