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Finding the Third Proportional to 534,897 and 1,094,387.63

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Solution

The third proportional to 534,897 and 1,094,387.63 is: 2,239,093.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,897 : 1,094,387.63 = 1,094,387.63 : x
  2. Step 2: Convert to fraction form
    534,897/1,094,387.63 = 1,094,387.63/x
  3. Step 3: Cross multiply
    534,897x = 1,094,387.63 × 1,094,387.63
  4. Step 4: Simplify right side
    534,897x = 1,197,684,273,753.14
  5. Step 5: Solve for x
    x = 1,197,684,273,753.14/534,897
  6. Step 6: Final answer
    x = 2,239,093.27

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.