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Finding the Third Proportional to 947,174 and 1,448,955

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Solution

The third proportional to 947,174 and 1,448,955 is: 2,216,562.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,174 : 1,448,955 = 1,448,955 : x
  2. Step 2: Convert to fraction form
    947,174/1,448,955 = 1,448,955/x
  3. Step 3: Cross multiply
    947,174x = 1,448,955 × 1,448,955
  4. Step 4: Simplify right side
    947,174x = 2,099,470,592,025
  5. Step 5: Solve for x
    x = 2,099,470,592,025/947,174
  6. Step 6: Final answer
    x = 2,216,562.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.