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Finding the Third Proportional to 743,906 and 1,611,418

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Solution

The third proportional to 743,906 and 1,611,418 is: 3,490,586.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,906 : 1,611,418 = 1,611,418 : x
  2. Step 2: Convert to fraction form
    743,906/1,611,418 = 1,611,418/x
  3. Step 3: Cross multiply
    743,906x = 1,611,418 × 1,611,418
  4. Step 4: Simplify right side
    743,906x = 2,596,667,970,724
  5. Step 5: Solve for x
    x = 2,596,667,970,724/743,906
  6. Step 6: Final answer
    x = 3,490,586.14

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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.