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Finding the Third Proportional to 1,137,728 and 2,437,384

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Solution

The third proportional to 1,137,728 and 2,437,384 is: 5,221,670.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137,728 : 2,437,384 = 2,437,384 : x
  2. Step 2: Convert to fraction form
    1,137,728/2,437,384 = 2,437,384/x
  3. Step 3: Cross multiply
    1,137,728x = 2,437,384 × 2,437,384
  4. Step 4: Simplify right side
    1,137,728x = 5,940,840,763,456
  5. Step 5: Solve for x
    x = 5,940,840,763,456/1,137,728
  6. Step 6: Final answer
    x = 5,221,670.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.