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Finding the Third Proportional to 1,172,648 and 2,569,738

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Solution

The third proportional to 1,172,648 and 2,569,738 is: 5,631,317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172,648 : 2,569,738 = 2,569,738 : x
  2. Step 2: Convert to fraction form
    1,172,648/2,569,738 = 2,569,738/x
  3. Step 3: Cross multiply
    1,172,648x = 2,569,738 × 2,569,738
  4. Step 4: Simplify right side
    1,172,648x = 6,603,553,388,644
  5. Step 5: Solve for x
    x = 6,603,553,388,644/1,172,648
  6. Step 6: Final answer
    x = 5,631,317.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.