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Finding the Third Proportional to 2,257,029 and 3,498,720.75

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Solution

The third proportional to 2,257,029 and 3,498,720.75 is: 5,423,522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257,029 : 3,498,720.75 = 3,498,720.75 : x
  2. Step 2: Convert to fraction form
    2,257,029/3,498,720.75 = 3,498,720.75/x
  3. Step 3: Cross multiply
    2,257,029x = 3,498,720.75 × 3,498,720.75
  4. Step 4: Simplify right side
    2,257,029x = 12,241,046,886,480.56
  5. Step 5: Solve for x
    x = 12,241,046,886,480.56/2,257,029
  6. Step 6: Final answer
    x = 5,423,522.20

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Why These Related Problems?

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