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Finding the Third Proportional to 635,966 and 1,347,748

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Solution

The third proportional to 635,966 and 1,347,748 is: 2,856,166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,966 : 1,347,748 = 1,347,748 : x
  2. Step 2: Convert to fraction form
    635,966/1,347,748 = 1,347,748/x
  3. Step 3: Cross multiply
    635,966x = 1,347,748 × 1,347,748
  4. Step 4: Simplify right side
    635,966x = 1,816,424,671,504
  5. Step 5: Solve for x
    x = 1,816,424,671,504/635,966
  6. Step 6: Final answer
    x = 2,856,166.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.