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Finding the Third Proportional to 534,714 and 1,188,972

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Solution

The third proportional to 534,714 and 1,188,972 is: 2,643,758.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,714 : 1,188,972 = 1,188,972 : x
  2. Step 2: Convert to fraction form
    534,714/1,188,972 = 1,188,972/x
  3. Step 3: Cross multiply
    534,714x = 1,188,972 × 1,188,972
  4. Step 4: Simplify right side
    534,714x = 1,413,654,416,784
  5. Step 5: Solve for x
    x = 1,413,654,416,784/534,714
  6. Step 6: Final answer
    x = 2,643,758.00

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.