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Finding the Third Proportional to 2,257,582 and 3,497,100

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Solution

The third proportional to 2,257,582 and 3,497,100 is: 5,417,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257,582 : 3,497,100 = 3,497,100 : x
  2. Step 2: Convert to fraction form
    2,257,582/3,497,100 = 3,497,100/x
  3. Step 3: Cross multiply
    2,257,582x = 3,497,100 × 3,497,100
  4. Step 4: Simplify right side
    2,257,582x = 12,229,708,410,000
  5. Step 5: Solve for x
    x = 12,229,708,410,000/2,257,582
  6. Step 6: Final answer
    x = 5,417,171.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.