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Finding the Third Proportional to 1,535,892 and 3,412,680

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Solution

The third proportional to 1,535,892 and 3,412,680 is: 7,582,814.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,892 : 3,412,680 = 3,412,680 : x
  2. Step 2: Convert to fraction form
    1,535,892/3,412,680 = 3,412,680/x
  3. Step 3: Cross multiply
    1,535,892x = 3,412,680 × 3,412,680
  4. Step 4: Simplify right side
    1,535,892x = 11,646,384,782,400
  5. Step 5: Solve for x
    x = 11,646,384,782,400/1,535,892
  6. Step 6: Final answer
    x = 7,582,814.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.