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Finding the Third Proportional to 683,179.31 and 1,021,005

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Solution

The third proportional to 683,179.31 and 1,021,005 is: 1,525,882.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,179.31 : 1,021,005 = 1,021,005 : x
  2. Step 2: Convert to fraction form
    683,179.31/1,021,005 = 1,021,005/x
  3. Step 3: Cross multiply
    683,179.31x = 1,021,005 × 1,021,005
  4. Step 4: Simplify right side
    683,179.31x = 1,042,451,210,025
  5. Step 5: Solve for x
    x = 1,042,451,210,025/683,179.31
  6. Step 6: Final answer
    x = 1,525,882.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.