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Finding the Third Proportional to 947,186 and 2,029,156

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Solution

The third proportional to 947,186 and 2,029,156 is: 4,347,059.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,186 : 2,029,156 = 2,029,156 : x
  2. Step 2: Convert to fraction form
    947,186/2,029,156 = 2,029,156/x
  3. Step 3: Cross multiply
    947,186x = 2,029,156 × 2,029,156
  4. Step 4: Simplify right side
    947,186x = 4,117,474,072,336
  5. Step 5: Solve for x
    x = 4,117,474,072,336/947,186
  6. Step 6: Final answer
    x = 4,347,059.68

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.