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Finding the Third Proportional to 2,231,346 and 4,580,307

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Solution

The third proportional to 2,231,346 and 4,580,307 is: 9,402,043.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231,346 : 4,580,307 = 4,580,307 : x
  2. Step 2: Convert to fraction form
    2,231,346/4,580,307 = 4,580,307/x
  3. Step 3: Cross multiply
    2,231,346x = 4,580,307 × 4,580,307
  4. Step 4: Simplify right side
    2,231,346x = 20,979,212,214,249
  5. Step 5: Solve for x
    x = 20,979,212,214,249/2,231,346
  6. Step 6: Final answer
    x = 9,402,043.53

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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.