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Finding the Third Proportional to 1,420,237.13 and 1,997,662.50

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Solution

The third proportional to 1,420,237.13 and 1,997,662.50 is: 2,809,851.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420,237.13 : 1,997,662.50 = 1,997,662.50 : x
  2. Step 2: Convert to fraction form
    1,420,237.13/1,997,662.50 = 1,997,662.50/x
  3. Step 3: Cross multiply
    1,420,237.13x = 1,997,662.50 × 1,997,662.50
  4. Step 4: Simplify right side
    1,420,237.13x = 3,990,655,463,906.25
  5. Step 5: Solve for x
    x = 3,990,655,463,906.25/1,420,237.13
  6. Step 6: Final answer
    x = 2,809,851.53

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.