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Finding the Third Proportional to 947,674 and 2,237,127

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Solution

The third proportional to 947,674 and 2,237,127 is: 5,281,074.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,674 : 2,237,127 = 2,237,127 : x
  2. Step 2: Convert to fraction form
    947,674/2,237,127 = 2,237,127/x
  3. Step 3: Cross multiply
    947,674x = 2,237,127 × 2,237,127
  4. Step 4: Simplify right side
    947,674x = 5,004,737,214,129
  5. Step 5: Solve for x
    x = 5,004,737,214,129/947,674
  6. Step 6: Final answer
    x = 5,281,074.73

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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.