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Finding the Third Proportional to 678,187.69 and 1,462,849.88

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Solution

The third proportional to 678,187.69 and 1,462,849.88 is: 3,155,365.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,187.69 : 1,462,849.88 = 1,462,849.88 : x
  2. Step 2: Convert to fraction form
    678,187.69/1,462,849.88 = 1,462,849.88/x
  3. Step 3: Cross multiply
    678,187.69x = 1,462,849.88 × 1,462,849.88
  4. Step 4: Simplify right side
    678,187.69x = 2,139,929,756,787.52
  5. Step 5: Solve for x
    x = 2,139,929,756,787.52/678,187.69
  6. Step 6: Final answer
    x = 3,155,365.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.