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Finding the Third Proportional to 789,754 and 1,155,012

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Solution

The third proportional to 789,754 and 1,155,012 is: 1,689,200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,754 : 1,155,012 = 1,155,012 : x
  2. Step 2: Convert to fraction form
    789,754/1,155,012 = 1,155,012/x
  3. Step 3: Cross multiply
    789,754x = 1,155,012 × 1,155,012
  4. Step 4: Simplify right side
    789,754x = 1,334,052,720,144
  5. Step 5: Solve for x
    x = 1,334,052,720,144/789,754
  6. Step 6: Final answer
    x = 1,689,200.33

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.