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Finding the Third Proportional to 540,784.50 and 1,251,882

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Solution

The third proportional to 540,784.50 and 1,251,882 is: 2,898,027.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,784.50 : 1,251,882 = 1,251,882 : x
  2. Step 2: Convert to fraction form
    540,784.50/1,251,882 = 1,251,882/x
  3. Step 3: Cross multiply
    540,784.50x = 1,251,882 × 1,251,882
  4. Step 4: Simplify right side
    540,784.50x = 1,567,208,541,924
  5. Step 5: Solve for x
    x = 1,567,208,541,924/540,784.50
  6. Step 6: Final answer
    x = 2,898,027.85

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.