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Finding the Third Proportional to 2,678,572.13 and 4,042,009.69

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Solution

The third proportional to 2,678,572.13 and 4,042,009.69 is: 6,099,459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678,572.13 : 4,042,009.69 = 4,042,009.69 : x
  2. Step 2: Convert to fraction form
    2,678,572.13/4,042,009.69 = 4,042,009.69/x
  3. Step 3: Cross multiply
    2,678,572.13x = 4,042,009.69 × 4,042,009.69
  4. Step 4: Simplify right side
    2,678,572.13x = 16,337,842,313,843.85
  5. Step 5: Solve for x
    x = 16,337,842,313,843.85/2,678,572.13
  6. Step 6: Final answer
    x = 6,099,459.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.