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Finding the Third Proportional to 538,985 and 1,150,276

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Solution

The third proportional to 538,985 and 1,150,276 is: 2,454,864.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,985 : 1,150,276 = 1,150,276 : x
  2. Step 2: Convert to fraction form
    538,985/1,150,276 = 1,150,276/x
  3. Step 3: Cross multiply
    538,985x = 1,150,276 × 1,150,276
  4. Step 4: Simplify right side
    538,985x = 1,323,134,876,176
  5. Step 5: Solve for x
    x = 1,323,134,876,176/538,985
  6. Step 6: Final answer
    x = 2,454,864.01

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.