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Finding the Third Proportional to 535,341 and 1,188,780

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Solution

The third proportional to 535,341 and 1,188,780 is: 2,639,808.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,341 : 1,188,780 = 1,188,780 : x
  2. Step 2: Convert to fraction form
    535,341/1,188,780 = 1,188,780/x
  3. Step 3: Cross multiply
    535,341x = 1,188,780 × 1,188,780
  4. Step 4: Simplify right side
    535,341x = 1,413,197,888,400
  5. Step 5: Solve for x
    x = 1,413,197,888,400/535,341
  6. Step 6: Final answer
    x = 2,639,808.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.