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Finding the Third Proportional to 533,208 and 1,169,742

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Solution

The third proportional to 533,208 and 1,169,742 is: 2,566,158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,208 : 1,169,742 = 1,169,742 : x
  2. Step 2: Convert to fraction form
    533,208/1,169,742 = 1,169,742/x
  3. Step 3: Cross multiply
    533,208x = 1,169,742 × 1,169,742
  4. Step 4: Simplify right side
    533,208x = 1,368,296,346,564
  5. Step 5: Solve for x
    x = 1,368,296,346,564/533,208
  6. Step 6: Final answer
    x = 2,566,158.70

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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.