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Finding the Third Proportional to 635,907 and 1,382,258

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Solution

The third proportional to 635,907 and 1,382,258 is: 3,004,585.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,907 : 1,382,258 = 1,382,258 : x
  2. Step 2: Convert to fraction form
    635,907/1,382,258 = 1,382,258/x
  3. Step 3: Cross multiply
    635,907x = 1,382,258 × 1,382,258
  4. Step 4: Simplify right side
    635,907x = 1,910,637,178,564
  5. Step 5: Solve for x
    x = 1,910,637,178,564/635,907
  6. Step 6: Final answer
    x = 3,004,585.86

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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.