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Finding the Third Proportional to 4,822,092 and 6,566,736

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Solution

The third proportional to 4,822,092 and 6,566,736 is: 8,942,596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822,092 : 6,566,736 = 6,566,736 : x
  2. Step 2: Convert to fraction form
    4,822,092/6,566,736 = 6,566,736/x
  3. Step 3: Cross multiply
    4,822,092x = 6,566,736 × 6,566,736
  4. Step 4: Simplify right side
    4,822,092x = 43,122,021,693,696
  5. Step 5: Solve for x
    x = 43,122,021,693,696/4,822,092
  6. Step 6: Final answer
    x = 8,942,596.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.