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Finding the Third Proportional to 543,513 and 1,278,853.50

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Solution

The third proportional to 543,513 and 1,278,853.50 is: 3,009,065.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,513 : 1,278,853.50 = 1,278,853.50 : x
  2. Step 2: Convert to fraction form
    543,513/1,278,853.50 = 1,278,853.50/x
  3. Step 3: Cross multiply
    543,513x = 1,278,853.50 × 1,278,853.50
  4. Step 4: Simplify right side
    543,513x = 1,635,466,274,462.25
  5. Step 5: Solve for x
    x = 1,635,466,274,462.25/543,513
  6. Step 6: Final answer
    x = 3,009,065.61

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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.