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Finding the Third Proportional to 534,027 and 801,146

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Solution

The third proportional to 534,027 and 801,146 is: 1,201,877.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,027 : 801,146 = 801,146 : x
  2. Step 2: Convert to fraction form
    534,027/801,146 = 801,146/x
  3. Step 3: Cross multiply
    534,027x = 801,146 × 801,146
  4. Step 4: Simplify right side
    534,027x = 641,834,913,316
  5. Step 5: Solve for x
    x = 641,834,913,316/534,027
  6. Step 6: Final answer
    x = 1,201,877.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.