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Finding the Third Proportional to 686,505 and 1,487,382

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Solution

The third proportional to 686,505 and 1,487,382 is: 3,222,562.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,505 : 1,487,382 = 1,487,382 : x
  2. Step 2: Convert to fraction form
    686,505/1,487,382 = 1,487,382/x
  3. Step 3: Cross multiply
    686,505x = 1,487,382 × 1,487,382
  4. Step 4: Simplify right side
    686,505x = 2,212,305,213,924
  5. Step 5: Solve for x
    x = 2,212,305,213,924/686,505
  6. Step 6: Final answer
    x = 3,222,562.42

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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.