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Finding the Third Proportional to 743,849 and 1,611,304

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Solution

The third proportional to 743,849 and 1,611,304 is: 3,490,359.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,849 : 1,611,304 = 1,611,304 : x
  2. Step 2: Convert to fraction form
    743,849/1,611,304 = 1,611,304/x
  3. Step 3: Cross multiply
    743,849x = 1,611,304 × 1,611,304
  4. Step 4: Simplify right side
    743,849x = 2,596,300,580,416
  5. Step 5: Solve for x
    x = 2,596,300,580,416/743,849
  6. Step 6: Final answer
    x = 3,490,359.71

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