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Finding the Third Proportional to 504,986 and 1,088,692

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Solution

The third proportional to 504,986 and 1,088,692 is: 2,347,095.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,986 : 1,088,692 = 1,088,692 : x
  2. Step 2: Convert to fraction form
    504,986/1,088,692 = 1,088,692/x
  3. Step 3: Cross multiply
    504,986x = 1,088,692 × 1,088,692
  4. Step 4: Simplify right side
    504,986x = 1,185,250,270,864
  5. Step 5: Solve for x
    x = 1,185,250,270,864/504,986
  6. Step 6: Final answer
    x = 2,347,095.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.