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Finding the Third Proportional to 543,574 and 1,278,997

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Solution

The third proportional to 543,574 and 1,278,997 is: 3,009,403.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,574 : 1,278,997 = 1,278,997 : x
  2. Step 2: Convert to fraction form
    543,574/1,278,997 = 1,278,997/x
  3. Step 3: Cross multiply
    543,574x = 1,278,997 × 1,278,997
  4. Step 4: Simplify right side
    543,574x = 1,635,833,326,009
  5. Step 5: Solve for x
    x = 1,635,833,326,009/543,574
  6. Step 6: Final answer
    x = 3,009,403.18

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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.