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Finding the Third Proportional to 538,143 and 1,141,884

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Solution

The third proportional to 538,143 and 1,141,884 is: 2,422,960.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,143 : 1,141,884 = 1,141,884 : x
  2. Step 2: Convert to fraction form
    538,143/1,141,884 = 1,141,884/x
  3. Step 3: Cross multiply
    538,143x = 1,141,884 × 1,141,884
  4. Step 4: Simplify right side
    538,143x = 1,303,899,069,456
  5. Step 5: Solve for x
    x = 1,303,899,069,456/538,143
  6. Step 6: Final answer
    x = 2,422,960.20

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.