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Finding the Third Proportional to 1,552,137 and 2,318,649

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Solution

The third proportional to 1,552,137 and 2,318,649 is: 3,463,697.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552,137 : 2,318,649 = 2,318,649 : x
  2. Step 2: Convert to fraction form
    1,552,137/2,318,649 = 2,318,649/x
  3. Step 3: Cross multiply
    1,552,137x = 2,318,649 × 2,318,649
  4. Step 4: Simplify right side
    1,552,137x = 5,376,133,185,201
  5. Step 5: Solve for x
    x = 5,376,133,185,201/1,552,137
  6. Step 6: Final answer
    x = 3,463,697.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.