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Finding the Third Proportional to 2,064,042 and 4,378,860

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Solution

The third proportional to 2,064,042 and 4,378,860 is: 9,289,740.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064,042 : 4,378,860 = 4,378,860 : x
  2. Step 2: Convert to fraction form
    2,064,042/4,378,860 = 4,378,860/x
  3. Step 3: Cross multiply
    2,064,042x = 4,378,860 × 4,378,860
  4. Step 4: Simplify right side
    2,064,042x = 19,174,414,899,600
  5. Step 5: Solve for x
    x = 19,174,414,899,600/2,064,042
  6. Step 6: Final answer
    x = 9,289,740.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.