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Finding the Third Proportional to 739,314 and 1,589,040

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Solution

The third proportional to 739,314 and 1,589,040 is: 3,415,393.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,314 : 1,589,040 = 1,589,040 : x
  2. Step 2: Convert to fraction form
    739,314/1,589,040 = 1,589,040/x
  3. Step 3: Cross multiply
    739,314x = 1,589,040 × 1,589,040
  4. Step 4: Simplify right side
    739,314x = 2,525,048,121,600
  5. Step 5: Solve for x
    x = 2,525,048,121,600/739,314
  6. Step 6: Final answer
    x = 3,415,393.35

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.