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Finding the Third Proportional to 394,184,138 and 850,692,020

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Solution

The third proportional to 394,184,138 and 850,692,020 is: 1,835,885,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,184,138 : 850,692,020 = 850,692,020 : x
  2. Step 2: Convert to fraction form
    394,184,138/850,692,020 = 850,692,020/x
  3. Step 3: Cross multiply
    394,184,138x = 850,692,020 × 850,692,020
  4. Step 4: Simplify right side
    394,184,138x = 723,676,912,891,680,384
  5. Step 5: Solve for x
    x = 723,676,912,891,680,384/394,184,138
  6. Step 6: Final answer
    x = 1,835,885,422.90

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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.