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Finding the Third Proportional to 2,231,892 and 4,862,358

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Solution

The third proportional to 2,231,892 and 4,862,358 is: 10,593,041.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231,892 : 4,862,358 = 4,862,358 : x
  2. Step 2: Convert to fraction form
    2,231,892/4,862,358 = 4,862,358/x
  3. Step 3: Cross multiply
    2,231,892x = 4,862,358 × 4,862,358
  4. Step 4: Simplify right side
    2,231,892x = 23,642,525,320,164
  5. Step 5: Solve for x
    x = 23,642,525,320,164/2,231,892
  6. Step 6: Final answer
    x = 10,593,041.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.