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Finding the Third Proportional to 534,844 and 1,174,652

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Solution

The third proportional to 534,844 and 1,174,652 is: 2,579,831.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,844 : 1,174,652 = 1,174,652 : x
  2. Step 2: Convert to fraction form
    534,844/1,174,652 = 1,174,652/x
  3. Step 3: Cross multiply
    534,844x = 1,174,652 × 1,174,652
  4. Step 4: Simplify right side
    534,844x = 1,379,807,321,104
  5. Step 5: Solve for x
    x = 1,379,807,321,104/534,844
  6. Step 6: Final answer
    x = 2,579,831.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.