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Finding the Third Proportional to 2,146,190 and 2,904,357

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Solution

The third proportional to 2,146,190 and 2,904,357 is: 3,930,355.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146,190 : 2,904,357 = 2,904,357 : x
  2. Step 2: Convert to fraction form
    2,146,190/2,904,357 = 2,904,357/x
  3. Step 3: Cross multiply
    2,146,190x = 2,904,357 × 2,904,357
  4. Step 4: Simplify right side
    2,146,190x = 8,435,289,583,449
  5. Step 5: Solve for x
    x = 8,435,289,583,449/2,146,190
  6. Step 6: Final answer
    x = 3,930,355.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.