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Finding the Third Proportional to 808,490 and 1,760,414

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Solution

The third proportional to 808,490 and 1,760,414 is: 3,833,142.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,490 : 1,760,414 = 1,760,414 : x
  2. Step 2: Convert to fraction form
    808,490/1,760,414 = 1,760,414/x
  3. Step 3: Cross multiply
    808,490x = 1,760,414 × 1,760,414
  4. Step 4: Simplify right side
    808,490x = 3,099,057,451,396
  5. Step 5: Solve for x
    x = 3,099,057,451,396/808,490
  6. Step 6: Final answer
    x = 3,833,142.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.