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Finding the Third Proportional to 4,027,560 and 6,099,834

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Solution

The third proportional to 4,027,560 and 6,099,834 is: 9,238,341.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,027,560 : 6,099,834 = 6,099,834 : x
  2. Step 2: Convert to fraction form
    4,027,560/6,099,834 = 6,099,834/x
  3. Step 3: Cross multiply
    4,027,560x = 6,099,834 × 6,099,834
  4. Step 4: Simplify right side
    4,027,560x = 37,207,974,827,556
  5. Step 5: Solve for x
    x = 37,207,974,827,556/4,027,560
  6. Step 6: Final answer
    x = 9,238,341.53

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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.