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Finding the Third Proportional to 507,723 and 1,080,648

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Solution

The third proportional to 507,723 and 1,080,648 is: 2,300,073.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,723 : 1,080,648 = 1,080,648 : x
  2. Step 2: Convert to fraction form
    507,723/1,080,648 = 1,080,648/x
  3. Step 3: Cross multiply
    507,723x = 1,080,648 × 1,080,648
  4. Step 4: Simplify right side
    507,723x = 1,167,800,099,904
  5. Step 5: Solve for x
    x = 1,167,800,099,904/507,723
  6. Step 6: Final answer
    x = 2,300,073.27

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.