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Finding the Third Proportional to 2,228,420 and 4,882,761.50

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Solution

The third proportional to 2,228,420 and 4,882,761.50 is: 10,698,773.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228,420 : 4,882,761.50 = 4,882,761.50 : x
  2. Step 2: Convert to fraction form
    2,228,420/4,882,761.50 = 4,882,761.50/x
  3. Step 3: Cross multiply
    2,228,420x = 4,882,761.50 × 4,882,761.50
  4. Step 4: Simplify right side
    2,228,420x = 23,841,359,865,882.25
  5. Step 5: Solve for x
    x = 23,841,359,865,882.25/2,228,420
  6. Step 6: Final answer
    x = 10,698,773.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.