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Finding the Third Proportional to 836,142 and 1,832,025

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Solution

The third proportional to 836,142 and 1,832,025 is: 4,014,049.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,142 : 1,832,025 = 1,832,025 : x
  2. Step 2: Convert to fraction form
    836,142/1,832,025 = 1,832,025/x
  3. Step 3: Cross multiply
    836,142x = 1,832,025 × 1,832,025
  4. Step 4: Simplify right side
    836,142x = 3,356,315,600,625
  5. Step 5: Solve for x
    x = 3,356,315,600,625/836,142
  6. Step 6: Final answer
    x = 4,014,049.77

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Why These Related Problems?

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