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Finding the Third Proportional to 611,940 and 945,234

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Solution

The third proportional to 611,940 and 945,234 is: 1,460,057.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,940 : 945,234 = 945,234 : x
  2. Step 2: Convert to fraction form
    611,940/945,234 = 945,234/x
  3. Step 3: Cross multiply
    611,940x = 945,234 × 945,234
  4. Step 4: Simplify right side
    611,940x = 893,467,314,756
  5. Step 5: Solve for x
    x = 893,467,314,756/611,940
  6. Step 6: Final answer
    x = 1,460,057.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.