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Finding the Third Proportional to 621,142.17 and 1,330,857.84

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Solution

The third proportional to 621,142.17 and 1,330,857.84 is: 2,851,493.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,142.17 : 1,330,857.84 = 1,330,857.84 : x
  2. Step 2: Convert to fraction form
    621,142.17/1,330,857.84 = 1,330,857.84/x
  3. Step 3: Cross multiply
    621,142.17x = 1,330,857.84 × 1,330,857.84
  4. Step 4: Simplify right side
    621,142.17x = 1,771,182,600,270.90
  5. Step 5: Solve for x
    x = 1,771,182,600,270.90/621,142.17
  6. Step 6: Final answer
    x = 2,851,493.07

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.