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Finding the Third Proportional to 681,272 and 1,478,460

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Solution

The third proportional to 681,272 and 1,478,460 is: 3,208,474.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,272 : 1,478,460 = 1,478,460 : x
  2. Step 2: Convert to fraction form
    681,272/1,478,460 = 1,478,460/x
  3. Step 3: Cross multiply
    681,272x = 1,478,460 × 1,478,460
  4. Step 4: Simplify right side
    681,272x = 2,185,843,971,600
  5. Step 5: Solve for x
    x = 2,185,843,971,600/681,272
  6. Step 6: Final answer
    x = 3,208,474.69

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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.