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Finding the Third Proportional to 1,222,721 and 2,877,011

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Solution

The third proportional to 1,222,721 and 2,877,011 is: 6,769,485.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222,721 : 2,877,011 = 2,877,011 : x
  2. Step 2: Convert to fraction form
    1,222,721/2,877,011 = 2,877,011/x
  3. Step 3: Cross multiply
    1,222,721x = 2,877,011 × 2,877,011
  4. Step 4: Simplify right side
    1,222,721x = 8,277,192,294,121
  5. Step 5: Solve for x
    x = 8,277,192,294,121/1,222,721
  6. Step 6: Final answer
    x = 6,769,485.68

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.