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Finding the Third Proportional to 2,231,343 and 4,580,301

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Solution

The third proportional to 2,231,343 and 4,580,301 is: 9,402,031.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231,343 : 4,580,301 = 4,580,301 : x
  2. Step 2: Convert to fraction form
    2,231,343/4,580,301 = 4,580,301/x
  3. Step 3: Cross multiply
    2,231,343x = 4,580,301 × 4,580,301
  4. Step 4: Simplify right side
    2,231,343x = 20,979,157,250,601
  5. Step 5: Solve for x
    x = 20,979,157,250,601/2,231,343
  6. Step 6: Final answer
    x = 9,402,031.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.