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Finding the Third Proportional to 743,721 and 1,611,087

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Solution

The third proportional to 743,721 and 1,611,087 is: 3,490,020.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,721 : 1,611,087 = 1,611,087 : x
  2. Step 2: Convert to fraction form
    743,721/1,611,087 = 1,611,087/x
  3. Step 3: Cross multiply
    743,721x = 1,611,087 × 1,611,087
  4. Step 4: Simplify right side
    743,721x = 2,595,601,321,569
  5. Step 5: Solve for x
    x = 2,595,601,321,569/743,721
  6. Step 6: Final answer
    x = 3,490,020.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.