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Finding the Third Proportional to 532,511 and 1,168,296

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Solution

The third proportional to 532,511 and 1,168,296 is: 2,563,168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,511 : 1,168,296 = 1,168,296 : x
  2. Step 2: Convert to fraction form
    532,511/1,168,296 = 1,168,296/x
  3. Step 3: Cross multiply
    532,511x = 1,168,296 × 1,168,296
  4. Step 4: Simplify right side
    532,511x = 1,364,915,543,616
  5. Step 5: Solve for x
    x = 1,364,915,543,616/532,511
  6. Step 6: Final answer
    x = 2,563,168.73

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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.