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Finding the Third Proportional to 2,369,738 and 3,386,355

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Solution

The third proportional to 2,369,738 and 3,386,355 is: 4,839,100.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369,738 : 3,386,355 = 3,386,355 : x
  2. Step 2: Convert to fraction form
    2,369,738/3,386,355 = 3,386,355/x
  3. Step 3: Cross multiply
    2,369,738x = 3,386,355 × 3,386,355
  4. Step 4: Simplify right side
    2,369,738x = 11,467,400,186,025
  5. Step 5: Solve for x
    x = 11,467,400,186,025/2,369,738
  6. Step 6: Final answer
    x = 4,839,100.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.