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Finding the Third Proportional to 543,510 and 1,278,846

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Solution

The third proportional to 543,510 and 1,278,846 is: 3,009,046.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,510 : 1,278,846 = 1,278,846 : x
  2. Step 2: Convert to fraction form
    543,510/1,278,846 = 1,278,846/x
  3. Step 3: Cross multiply
    543,510x = 1,278,846 × 1,278,846
  4. Step 4: Simplify right side
    543,510x = 1,635,447,091,716
  5. Step 5: Solve for x
    x = 1,635,447,091,716/543,510
  6. Step 6: Final answer
    x = 3,009,046.92

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.