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Finding the Third Proportional to 2,231,347 and 4,580,309

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Solution

The third proportional to 2,231,347 and 4,580,309 is: 9,402,047.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231,347 : 4,580,309 = 4,580,309 : x
  2. Step 2: Convert to fraction form
    2,231,347/4,580,309 = 4,580,309/x
  3. Step 3: Cross multiply
    2,231,347x = 4,580,309 × 4,580,309
  4. Step 4: Simplify right side
    2,231,347x = 20,979,230,535,481
  5. Step 5: Solve for x
    x = 20,979,230,535,481/2,231,347
  6. Step 6: Final answer
    x = 9,402,047.52

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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.