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Finding the Third Proportional to 770,526 and 1,022,400

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Solution

The third proportional to 770,526 and 1,022,400 is: 1,356,608.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,526 : 1,022,400 = 1,022,400 : x
  2. Step 2: Convert to fraction form
    770,526/1,022,400 = 1,022,400/x
  3. Step 3: Cross multiply
    770,526x = 1,022,400 × 1,022,400
  4. Step 4: Simplify right side
    770,526x = 1,045,301,760,000
  5. Step 5: Solve for x
    x = 1,045,301,760,000/770,526
  6. Step 6: Final answer
    x = 1,356,608.03

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.