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Finding the Third Proportional to 960,735 and 2,079,251

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Solution

The third proportional to 960,735 and 2,079,251 is: 4,499,976.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,735 : 2,079,251 = 2,079,251 : x
  2. Step 2: Convert to fraction form
    960,735/2,079,251 = 2,079,251/x
  3. Step 3: Cross multiply
    960,735x = 2,079,251 × 2,079,251
  4. Step 4: Simplify right side
    960,735x = 4,323,284,721,001
  5. Step 5: Solve for x
    x = 4,323,284,721,001/960,735
  6. Step 6: Final answer
    x = 4,499,976.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.