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Finding the Third Proportional to 644,954 and 1,016,907

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Solution

The third proportional to 644,954 and 1,016,907 is: 1,603,369.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,954 : 1,016,907 = 1,016,907 : x
  2. Step 2: Convert to fraction form
    644,954/1,016,907 = 1,016,907/x
  3. Step 3: Cross multiply
    644,954x = 1,016,907 × 1,016,907
  4. Step 4: Simplify right side
    644,954x = 1,034,099,846,649
  5. Step 5: Solve for x
    x = 1,034,099,846,649/644,954
  6. Step 6: Final answer
    x = 1,603,369.93

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.