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Finding the Third Proportional to 947,664 and 2,237,112

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Solution

The third proportional to 947,664 and 2,237,112 is: 5,281,059.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,664 : 2,237,112 = 2,237,112 : x
  2. Step 2: Convert to fraction form
    947,664/2,237,112 = 2,237,112/x
  3. Step 3: Cross multiply
    947,664x = 2,237,112 × 2,237,112
  4. Step 4: Simplify right side
    947,664x = 5,004,670,100,544
  5. Step 5: Solve for x
    x = 5,004,670,100,544/947,664
  6. Step 6: Final answer
    x = 5,281,059.64

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Why These Related Problems?

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