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Finding the Third Proportional to 947,658 and 2,237,094

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Solution

The third proportional to 947,658 and 2,237,094 is: 5,281,008.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,658 : 2,237,094 = 2,237,094 : x
  2. Step 2: Convert to fraction form
    947,658/2,237,094 = 2,237,094/x
  3. Step 3: Cross multiply
    947,658x = 2,237,094 × 2,237,094
  4. Step 4: Simplify right side
    947,658x = 5,004,589,564,836
  5. Step 5: Solve for x
    x = 5,004,589,564,836/947,658
  6. Step 6: Final answer
    x = 5,281,008.09

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.