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Finding the Third Proportional to 803,729 and 1,094,542

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Solution

The third proportional to 803,729 and 1,094,542 is: 1,490,579.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,729 : 1,094,542 = 1,094,542 : x
  2. Step 2: Convert to fraction form
    803,729/1,094,542 = 1,094,542/x
  3. Step 3: Cross multiply
    803,729x = 1,094,542 × 1,094,542
  4. Step 4: Simplify right side
    803,729x = 1,198,022,189,764
  5. Step 5: Solve for x
    x = 1,198,022,189,764/803,729
  6. Step 6: Final answer
    x = 1,490,579.77

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.