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Finding the Third Proportional to 538,102 and 1,131,972

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Solution

The third proportional to 538,102 and 1,131,972 is: 2,381,259.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,102 : 1,131,972 = 1,131,972 : x
  2. Step 2: Convert to fraction form
    538,102/1,131,972 = 1,131,972/x
  3. Step 3: Cross multiply
    538,102x = 1,131,972 × 1,131,972
  4. Step 4: Simplify right side
    538,102x = 1,281,360,608,784
  5. Step 5: Solve for x
    x = 1,281,360,608,784/538,102
  6. Step 6: Final answer
    x = 2,381,259.70

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.