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Finding the Third Proportional to 960,733 and 2,079,247

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Solution

The third proportional to 960,733 and 2,079,247 is: 4,499,968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,733 : 2,079,247 = 2,079,247 : x
  2. Step 2: Convert to fraction form
    960,733/2,079,247 = 2,079,247/x
  3. Step 3: Cross multiply
    960,733x = 2,079,247 × 2,079,247
  4. Step 4: Simplify right side
    960,733x = 4,323,268,087,009
  5. Step 5: Solve for x
    x = 4,323,268,087,009/960,733
  6. Step 6: Final answer
    x = 4,499,968.34

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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.