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Finding the Third Proportional to 681,262 and 1,478,434

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Solution

The third proportional to 681,262 and 1,478,434 is: 3,208,408.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,262 : 1,478,434 = 1,478,434 : x
  2. Step 2: Convert to fraction form
    681,262/1,478,434 = 1,478,434/x
  3. Step 3: Cross multiply
    681,262x = 1,478,434 × 1,478,434
  4. Step 4: Simplify right side
    681,262x = 2,185,767,092,356
  5. Step 5: Solve for x
    x = 2,185,767,092,356/681,262
  6. Step 6: Final answer
    x = 3,208,408.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.