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Finding the Third Proportional to 533,462.63 and 1,166,511.38

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Solution

The third proportional to 533,462.63 and 1,166,511.38 is: 2,550,785.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,462.63 : 1,166,511.38 = 1,166,511.38 : x
  2. Step 2: Convert to fraction form
    533,462.63/1,166,511.38 = 1,166,511.38/x
  3. Step 3: Cross multiply
    533,462.63x = 1,166,511.38 × 1,166,511.38
  4. Step 4: Simplify right side
    533,462.63x = 1,360,748,788,004.39
  5. Step 5: Solve for x
    x = 1,360,748,788,004.39/533,462.63
  6. Step 6: Final answer
    x = 2,550,785.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.