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Finding the Third Proportional to 506,453 and 1,183,188

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Solution

The third proportional to 506,453 and 1,183,188 is: 2,764,193.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,453 : 1,183,188 = 1,183,188 : x
  2. Step 2: Convert to fraction form
    506,453/1,183,188 = 1,183,188/x
  3. Step 3: Cross multiply
    506,453x = 1,183,188 × 1,183,188
  4. Step 4: Simplify right side
    506,453x = 1,399,933,843,344
  5. Step 5: Solve for x
    x = 1,399,933,843,344/506,453
  6. Step 6: Final answer
    x = 2,764,193.01

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.