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Finding the Third Proportional to 701,986 and 1,026,652

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Solution

The third proportional to 701,986 and 1,026,652 is: 1,501,474.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,986 : 1,026,652 = 1,026,652 : x
  2. Step 2: Convert to fraction form
    701,986/1,026,652 = 1,026,652/x
  3. Step 3: Cross multiply
    701,986x = 1,026,652 × 1,026,652
  4. Step 4: Simplify right side
    701,986x = 1,054,014,329,104
  5. Step 5: Solve for x
    x = 1,054,014,329,104/701,986
  6. Step 6: Final answer
    x = 1,501,474.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.