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Finding the Third Proportional to 1,323,871.31 and 1,984,028.34

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Solution

The third proportional to 1,323,871.31 and 1,984,028.34 is: 2,973,376.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323,871.31 : 1,984,028.34 = 1,984,028.34 : x
  2. Step 2: Convert to fraction form
    1,323,871.31/1,984,028.34 = 1,984,028.34/x
  3. Step 3: Cross multiply
    1,323,871.31x = 1,984,028.34 × 1,984,028.34
  4. Step 4: Simplify right side
    1,323,871.31x = 3,936,368,468,803.37
  5. Step 5: Solve for x
    x = 3,936,368,468,803.37/1,323,871.31
  6. Step 6: Final answer
    x = 2,973,376.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.