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Finding the Third Proportional to 554,144 and 1,193,037

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Solution

The third proportional to 554,144 and 1,193,037 is: 2,568,533.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,144 : 1,193,037 = 1,193,037 : x
  2. Step 2: Convert to fraction form
    554,144/1,193,037 = 1,193,037/x
  3. Step 3: Cross multiply
    554,144x = 1,193,037 × 1,193,037
  4. Step 4: Simplify right side
    554,144x = 1,423,337,283,369
  5. Step 5: Solve for x
    x = 1,423,337,283,369/554,144
  6. Step 6: Final answer
    x = 2,568,533.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.