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Finding the Third Proportional to 635,726 and 960,071

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Solution

The third proportional to 635,726 and 960,071 is: 1,449,895.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,726 : 960,071 = 960,071 : x
  2. Step 2: Convert to fraction form
    635,726/960,071 = 960,071/x
  3. Step 3: Cross multiply
    635,726x = 960,071 × 960,071
  4. Step 4: Simplify right side
    635,726x = 921,736,325,041
  5. Step 5: Solve for x
    x = 921,736,325,041/635,726
  6. Step 6: Final answer
    x = 1,449,895.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.