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Finding the Third Proportional to 510,403 and 1,118,493

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Solution

The third proportional to 510,403 and 1,118,493 is: 2,451,056.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,403 : 1,118,493 = 1,118,493 : x
  2. Step 2: Convert to fraction form
    510,403/1,118,493 = 1,118,493/x
  3. Step 3: Cross multiply
    510,403x = 1,118,493 × 1,118,493
  4. Step 4: Simplify right side
    510,403x = 1,251,026,591,049
  5. Step 5: Solve for x
    x = 1,251,026,591,049/510,403
  6. Step 6: Final answer
    x = 2,451,056.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.