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Finding the Third Proportional to 601,659 and 1,283,382

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Solution

The third proportional to 601,659 and 1,283,382 is: 2,737,546.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,659 : 1,283,382 = 1,283,382 : x
  2. Step 2: Convert to fraction form
    601,659/1,283,382 = 1,283,382/x
  3. Step 3: Cross multiply
    601,659x = 1,283,382 × 1,283,382
  4. Step 4: Simplify right side
    601,659x = 1,647,069,357,924
  5. Step 5: Solve for x
    x = 1,647,069,357,924/601,659
  6. Step 6: Final answer
    x = 2,737,546.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.