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Finding the Third Proportional to 509,722 and 1,108,052

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Solution

The third proportional to 509,722 and 1,108,052 is: 2,408,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,722 : 1,108,052 = 1,108,052 : x
  2. Step 2: Convert to fraction form
    509,722/1,108,052 = 1,108,052/x
  3. Step 3: Cross multiply
    509,722x = 1,108,052 × 1,108,052
  4. Step 4: Simplify right side
    509,722x = 1,227,779,234,704
  5. Step 5: Solve for x
    x = 1,227,779,234,704/509,722
  6. Step 6: Final answer
    x = 2,408,723.25

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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.