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Finding the Third Proportional to 2,533,815 and 3,822,606

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Solution

The third proportional to 2,533,815 and 3,822,606 is: 5,766,923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533,815 : 3,822,606 = 3,822,606 : x
  2. Step 2: Convert to fraction form
    2,533,815/3,822,606 = 3,822,606/x
  3. Step 3: Cross multiply
    2,533,815x = 3,822,606 × 3,822,606
  4. Step 4: Simplify right side
    2,533,815x = 14,612,316,631,236
  5. Step 5: Solve for x
    x = 14,612,316,631,236/2,533,815
  6. Step 6: Final answer
    x = 5,766,923.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.