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Finding the Third Proportional to 538,191 and 1,132,146

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Solution

The third proportional to 538,191 and 1,132,146 is: 2,381,597.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,191 : 1,132,146 = 1,132,146 : x
  2. Step 2: Convert to fraction form
    538,191/1,132,146 = 1,132,146/x
  3. Step 3: Cross multiply
    538,191x = 1,132,146 × 1,132,146
  4. Step 4: Simplify right side
    538,191x = 1,281,754,565,316
  5. Step 5: Solve for x
    x = 1,281,754,565,316/538,191
  6. Step 6: Final answer
    x = 2,381,597.92

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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.