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Finding the Third Proportional to 533,214 and 1,169,754

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Solution

The third proportional to 533,214 and 1,169,754 is: 2,566,182.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,214 : 1,169,754 = 1,169,754 : x
  2. Step 2: Convert to fraction form
    533,214/1,169,754 = 1,169,754/x
  3. Step 3: Cross multiply
    533,214x = 1,169,754 × 1,169,754
  4. Step 4: Simplify right side
    533,214x = 1,368,324,420,516
  5. Step 5: Solve for x
    x = 1,368,324,420,516/533,214
  6. Step 6: Final answer
    x = 2,566,182.47

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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.