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Finding the Third Proportional to 723,084.75 and 1,380,559.50

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Solution

The third proportional to 723,084.75 and 1,380,559.50 is: 2,635,852.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,084.75 : 1,380,559.50 = 1,380,559.50 : x
  2. Step 2: Convert to fraction form
    723,084.75/1,380,559.50 = 1,380,559.50/x
  3. Step 3: Cross multiply
    723,084.75x = 1,380,559.50 × 1,380,559.50
  4. Step 4: Simplify right side
    723,084.75x = 1,905,944,533,040.25
  5. Step 5: Solve for x
    x = 1,905,944,533,040.25/723,084.75
  6. Step 6: Final answer
    x = 2,635,852.21

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.