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Finding the Third Proportional to 1,267,821 and 1,862,931

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Solution

The third proportional to 1,267,821 and 1,862,931 is: 2,737,383.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,821 : 1,862,931 = 1,862,931 : x
  2. Step 2: Convert to fraction form
    1,267,821/1,862,931 = 1,862,931/x
  3. Step 3: Cross multiply
    1,267,821x = 1,862,931 × 1,862,931
  4. Step 4: Simplify right side
    1,267,821x = 3,470,511,910,761
  5. Step 5: Solve for x
    x = 3,470,511,910,761/1,267,821
  6. Step 6: Final answer
    x = 2,737,383.20

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.