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Finding the Third Proportional to 947,576 and 2,072,290

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Solution

The third proportional to 947,576 and 2,072,290 is: 4,531,969.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,576 : 2,072,290 = 2,072,290 : x
  2. Step 2: Convert to fraction form
    947,576/2,072,290 = 2,072,290/x
  3. Step 3: Cross multiply
    947,576x = 2,072,290 × 2,072,290
  4. Step 4: Simplify right side
    947,576x = 4,294,385,844,100
  5. Step 5: Solve for x
    x = 4,294,385,844,100/947,576
  6. Step 6: Final answer
    x = 4,531,969.83

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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.