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Finding the Third Proportional to 3,200,960 and 4,835,712

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Solution

The third proportional to 3,200,960 and 4,835,712 is: 7,305,342.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200,960 : 4,835,712 = 4,835,712 : x
  2. Step 2: Convert to fraction form
    3,200,960/4,835,712 = 4,835,712/x
  3. Step 3: Cross multiply
    3,200,960x = 4,835,712 × 4,835,712
  4. Step 4: Simplify right side
    3,200,960x = 23,384,110,546,944
  5. Step 5: Solve for x
    x = 23,384,110,546,944/3,200,960
  6. Step 6: Final answer
    x = 7,305,342.94

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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.