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Finding the Third Proportional to 635,426 and 1,314,916

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Solution

The third proportional to 635,426 and 1,314,916 is: 2,721,015.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,426 : 1,314,916 = 1,314,916 : x
  2. Step 2: Convert to fraction form
    635,426/1,314,916 = 1,314,916/x
  3. Step 3: Cross multiply
    635,426x = 1,314,916 × 1,314,916
  4. Step 4: Simplify right side
    635,426x = 1,729,004,087,056
  5. Step 5: Solve for x
    x = 1,729,004,087,056/635,426
  6. Step 6: Final answer
    x = 2,721,015.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.