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Finding the Third Proportional to 571,910.13 and 1,232,462.75

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Solution

The third proportional to 571,910.13 and 1,232,462.75 is: 2,655,949.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,910.13 : 1,232,462.75 = 1,232,462.75 : x
  2. Step 2: Convert to fraction form
    571,910.13/1,232,462.75 = 1,232,462.75/x
  3. Step 3: Cross multiply
    571,910.13x = 1,232,462.75 × 1,232,462.75
  4. Step 4: Simplify right side
    571,910.13x = 1,518,964,430,137.56
  5. Step 5: Solve for x
    x = 1,518,964,430,137.56/571,910.13
  6. Step 6: Final answer
    x = 2,655,949.53

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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.