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Finding the Third Proportional to 1,373,721 and 2,019,418.50

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Solution

The third proportional to 1,373,721 and 2,019,418.50 is: 2,968,616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373,721 : 2,019,418.50 = 2,019,418.50 : x
  2. Step 2: Convert to fraction form
    1,373,721/2,019,418.50 = 2,019,418.50/x
  3. Step 3: Cross multiply
    1,373,721x = 2,019,418.50 × 2,019,418.50
  4. Step 4: Simplify right side
    1,373,721x = 4,078,051,078,142.25
  5. Step 5: Solve for x
    x = 4,078,051,078,142.25/1,373,721
  6. Step 6: Final answer
    x = 2,968,616.68

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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.