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Finding the Third Proportional to 538,148 and 1,141,892

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Solution

The third proportional to 538,148 and 1,141,892 is: 2,422,971.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,148 : 1,141,892 = 1,141,892 : x
  2. Step 2: Convert to fraction form
    538,148/1,141,892 = 1,141,892/x
  3. Step 3: Cross multiply
    538,148x = 1,141,892 × 1,141,892
  4. Step 4: Simplify right side
    538,148x = 1,303,917,339,664
  5. Step 5: Solve for x
    x = 1,303,917,339,664/538,148
  6. Step 6: Final answer
    x = 2,422,971.64

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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.