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Finding the Third Proportional to 3,115,462 and 4,550,648

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Solution

The third proportional to 3,115,462 and 4,550,648 is: 6,646,974.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115,462 : 4,550,648 = 4,550,648 : x
  2. Step 2: Convert to fraction form
    3,115,462/4,550,648 = 4,550,648/x
  3. Step 3: Cross multiply
    3,115,462x = 4,550,648 × 4,550,648
  4. Step 4: Simplify right side
    3,115,462x = 20,708,397,219,904
  5. Step 5: Solve for x
    x = 20,708,397,219,904/3,115,462
  6. Step 6: Final answer
    x = 6,646,974.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.