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Finding the Third Proportional to 635,066 and 1,357,474

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Solution

The third proportional to 635,066 and 1,357,474 is: 2,901,644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,066 : 1,357,474 = 1,357,474 : x
  2. Step 2: Convert to fraction form
    635,066/1,357,474 = 1,357,474/x
  3. Step 3: Cross multiply
    635,066x = 1,357,474 × 1,357,474
  4. Step 4: Simplify right side
    635,066x = 1,842,735,660,676
  5. Step 5: Solve for x
    x = 1,842,735,660,676/635,066
  6. Step 6: Final answer
    x = 2,901,644.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.