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Finding the Third Proportional to 642,567.94 and 1,356,896.81

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Solution

The third proportional to 642,567.94 and 1,356,896.81 is: 2,865,329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,567.94 : 1,356,896.81 = 1,356,896.81 : x
  2. Step 2: Convert to fraction form
    642,567.94/1,356,896.81 = 1,356,896.81/x
  3. Step 3: Cross multiply
    642,567.94x = 1,356,896.81 × 1,356,896.81
  4. Step 4: Simplify right side
    642,567.94x = 1,841,168,959,772.66
  5. Step 5: Solve for x
    x = 1,841,168,959,772.66/642,567.94
  6. Step 6: Final answer
    x = 2,865,329.64

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.