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Finding the Third Proportional to 516,037.50 and 1,094,769

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Solution

The third proportional to 516,037.50 and 1,094,769 is: 2,322,542.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,037.50 : 1,094,769 = 1,094,769 : x
  2. Step 2: Convert to fraction form
    516,037.50/1,094,769 = 1,094,769/x
  3. Step 3: Cross multiply
    516,037.50x = 1,094,769 × 1,094,769
  4. Step 4: Simplify right side
    516,037.50x = 1,198,519,163,361
  5. Step 5: Solve for x
    x = 1,198,519,163,361/516,037.50
  6. Step 6: Final answer
    x = 2,322,542.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.