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Finding the Third Proportional to 684,504 and 1,599,300

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Solution

The third proportional to 684,504 and 1,599,300 is: 3,736,662.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,504 : 1,599,300 = 1,599,300 : x
  2. Step 2: Convert to fraction form
    684,504/1,599,300 = 1,599,300/x
  3. Step 3: Cross multiply
    684,504x = 1,599,300 × 1,599,300
  4. Step 4: Simplify right side
    684,504x = 2,557,760,490,000
  5. Step 5: Solve for x
    x = 2,557,760,490,000/684,504
  6. Step 6: Final answer
    x = 3,736,662.59

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.