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Finding the Third Proportional to 611,810 and 933,267

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Solution

The third proportional to 611,810 and 933,267 is: 1,423,623.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,810 : 933,267 = 933,267 : x
  2. Step 2: Convert to fraction form
    611,810/933,267 = 933,267/x
  3. Step 3: Cross multiply
    611,810x = 933,267 × 933,267
  4. Step 4: Simplify right side
    611,810x = 870,987,293,289
  5. Step 5: Solve for x
    x = 870,987,293,289/611,810
  6. Step 6: Final answer
    x = 1,423,623.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.