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Finding the Third Proportional to 2,257,023 and 4,882,180.75

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Solution

The third proportional to 2,257,023 and 4,882,180.75 is: 10,560,676.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257,023 : 4,882,180.75 = 4,882,180.75 : x
  2. Step 2: Convert to fraction form
    2,257,023/4,882,180.75 = 4,882,180.75/x
  3. Step 3: Cross multiply
    2,257,023x = 4,882,180.75 × 4,882,180.75
  4. Step 4: Simplify right side
    2,257,023x = 23,835,688,875,670.56
  5. Step 5: Solve for x
    x = 23,835,688,875,670.56/2,257,023
  6. Step 6: Final answer
    x = 10,560,676.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.