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Finding the Third Proportional to 1,535,852 and 3,351,631

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Solution

The third proportional to 1,535,852 and 3,351,631 is: 7,314,135.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,852 : 3,351,631 = 3,351,631 : x
  2. Step 2: Convert to fraction form
    1,535,852/3,351,631 = 3,351,631/x
  3. Step 3: Cross multiply
    1,535,852x = 3,351,631 × 3,351,631
  4. Step 4: Simplify right side
    1,535,852x = 11,233,430,360,161
  5. Step 5: Solve for x
    x = 11,233,430,360,161/1,535,852
  6. Step 6: Final answer
    x = 7,314,135.97

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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.