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Finding the Third Proportional to 997,546 and 2,136,866

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Solution

The third proportional to 997,546 and 2,136,866 is: 4,577,429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,546 : 2,136,866 = 2,136,866 : x
  2. Step 2: Convert to fraction form
    997,546/2,136,866 = 2,136,866/x
  3. Step 3: Cross multiply
    997,546x = 2,136,866 × 2,136,866
  4. Step 4: Simplify right side
    997,546x = 4,566,196,301,956
  5. Step 5: Solve for x
    x = 4,566,196,301,956/997,546
  6. Step 6: Final answer
    x = 4,577,429.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.