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Finding the Third Proportional to 836,190 and 1,234,602

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Solution

The third proportional to 836,190 and 1,234,602 is: 1,822,841.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,190 : 1,234,602 = 1,234,602 : x
  2. Step 2: Convert to fraction form
    836,190/1,234,602 = 1,234,602/x
  3. Step 3: Cross multiply
    836,190x = 1,234,602 × 1,234,602
  4. Step 4: Simplify right side
    836,190x = 1,524,242,098,404
  5. Step 5: Solve for x
    x = 1,524,242,098,404/836,190
  6. Step 6: Final answer
    x = 1,822,841.82

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.