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Finding the Third Proportional to 743,904 and 1,611,414

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Solution

The third proportional to 743,904 and 1,611,414 is: 3,490,578.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,904 : 1,611,414 = 1,611,414 : x
  2. Step 2: Convert to fraction form
    743,904/1,611,414 = 1,611,414/x
  3. Step 3: Cross multiply
    743,904x = 1,611,414 × 1,611,414
  4. Step 4: Simplify right side
    743,904x = 2,596,655,079,396
  5. Step 5: Solve for x
    x = 2,596,655,079,396/743,904
  6. Step 6: Final answer
    x = 3,490,578.19

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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.