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Finding the Third Proportional to 541,940 and 1,279,424

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Solution

The third proportional to 541,940 and 1,279,424 is: 3,020,492.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,940 : 1,279,424 = 1,279,424 : x
  2. Step 2: Convert to fraction form
    541,940/1,279,424 = 1,279,424/x
  3. Step 3: Cross multiply
    541,940x = 1,279,424 × 1,279,424
  4. Step 4: Simplify right side
    541,940x = 1,636,925,771,776
  5. Step 5: Solve for x
    x = 1,636,925,771,776/541,940
  6. Step 6: Final answer
    x = 3,020,492.62

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.