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Finding the Third Proportional to 1,011,824 and 2,188,766

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Solution

The third proportional to 1,011,824 and 2,188,766 is: 4,734,713.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,824 : 2,188,766 = 2,188,766 : x
  2. Step 2: Convert to fraction form
    1,011,824/2,188,766 = 2,188,766/x
  3. Step 3: Cross multiply
    1,011,824x = 2,188,766 × 2,188,766
  4. Step 4: Simplify right side
    1,011,824x = 4,790,696,602,756
  5. Step 5: Solve for x
    x = 4,790,696,602,756/1,011,824
  6. Step 6: Final answer
    x = 4,734,713.35

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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.