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Finding the Third Proportional to 1,955,905.50 and 2,991,982.50

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Solution

The third proportional to 1,955,905.50 and 2,991,982.50 is: 4,576,887.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955,905.50 : 2,991,982.50 = 2,991,982.50 : x
  2. Step 2: Convert to fraction form
    1,955,905.50/2,991,982.50 = 2,991,982.50/x
  3. Step 3: Cross multiply
    1,955,905.50x = 2,991,982.50 × 2,991,982.50
  4. Step 4: Simplify right side
    1,955,905.50x = 8,951,959,280,306.25
  5. Step 5: Solve for x
    x = 8,951,959,280,306.25/1,955,905.50
  6. Step 6: Final answer
    x = 4,576,887.42

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.