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Finding the Third Proportional to 836,210 and 1,834,825

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Solution

The third proportional to 836,210 and 1,834,825 is: 4,026,001.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,210 : 1,834,825 = 1,834,825 : x
  2. Step 2: Convert to fraction form
    836,210/1,834,825 = 1,834,825/x
  3. Step 3: Cross multiply
    836,210x = 1,834,825 × 1,834,825
  4. Step 4: Simplify right side
    836,210x = 3,366,582,780,625
  5. Step 5: Solve for x
    x = 3,366,582,780,625/836,210
  6. Step 6: Final answer
    x = 4,026,001.58

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.