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Finding the Third Proportional to 1,535,898 and 3,412,692

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Solution

The third proportional to 1,535,898 and 3,412,692 is: 7,582,838.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,898 : 3,412,692 = 3,412,692 : x
  2. Step 2: Convert to fraction form
    1,535,898/3,412,692 = 3,412,692/x
  3. Step 3: Cross multiply
    1,535,898x = 3,412,692 × 3,412,692
  4. Step 4: Simplify right side
    1,535,898x = 11,646,466,686,864
  5. Step 5: Solve for x
    x = 11,646,466,686,864/1,535,898
  6. Step 6: Final answer
    x = 7,582,838.63

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