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Finding the Third Proportional to 3,271,446 and 4,966,029

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Solution

The third proportional to 3,271,446 and 4,966,029 is: 7,538,392.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271,446 : 4,966,029 = 4,966,029 : x
  2. Step 2: Convert to fraction form
    3,271,446/4,966,029 = 4,966,029/x
  3. Step 3: Cross multiply
    3,271,446x = 4,966,029 × 4,966,029
  4. Step 4: Simplify right side
    3,271,446x = 24,661,444,028,841
  5. Step 5: Solve for x
    x = 24,661,444,028,841/3,271,446
  6. Step 6: Final answer
    x = 7,538,392.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.