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Finding the Third Proportional to 543,564 and 1,278,972

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Solution

The third proportional to 543,564 and 1,278,972 is: 3,009,340.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,564 : 1,278,972 = 1,278,972 : x
  2. Step 2: Convert to fraction form
    543,564/1,278,972 = 1,278,972/x
  3. Step 3: Cross multiply
    543,564x = 1,278,972 × 1,278,972
  4. Step 4: Simplify right side
    543,564x = 1,635,769,376,784
  5. Step 5: Solve for x
    x = 1,635,769,376,784/543,564
  6. Step 6: Final answer
    x = 3,009,340.90

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Why These Related Problems?

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