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Finding the Third Proportional to 677,690 and 1,473,424

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Solution

The third proportional to 677,690 and 1,473,424 is: 3,203,497.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,690 : 1,473,424 = 1,473,424 : x
  2. Step 2: Convert to fraction form
    677,690/1,473,424 = 1,473,424/x
  3. Step 3: Cross multiply
    677,690x = 1,473,424 × 1,473,424
  4. Step 4: Simplify right side
    677,690x = 2,170,978,283,776
  5. Step 5: Solve for x
    x = 2,170,978,283,776/677,690
  6. Step 6: Final answer
    x = 3,203,497.59

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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.