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Finding the Third Proportional to 960,302.25 and 2,062,941.75

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Solution

The third proportional to 960,302.25 and 2,062,941.75 is: 4,431,655.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,302.25 : 2,062,941.75 = 2,062,941.75 : x
  2. Step 2: Convert to fraction form
    960,302.25/2,062,941.75 = 2,062,941.75/x
  3. Step 3: Cross multiply
    960,302.25x = 2,062,941.75 × 2,062,941.75
  4. Step 4: Simplify right side
    960,302.25x = 4,255,728,663,893.06
  5. Step 5: Solve for x
    x = 4,255,728,663,893.06/960,302.25
  6. Step 6: Final answer
    x = 4,431,655.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.