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Finding the Third Proportional to 770,538 and 1,022,418

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Solution

The third proportional to 770,538 and 1,022,418 is: 1,356,634.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,538 : 1,022,418 = 1,022,418 : x
  2. Step 2: Convert to fraction form
    770,538/1,022,418 = 1,022,418/x
  3. Step 3: Cross multiply
    770,538x = 1,022,418 × 1,022,418
  4. Step 4: Simplify right side
    770,538x = 1,045,338,566,724
  5. Step 5: Solve for x
    x = 1,045,338,566,724/770,538
  6. Step 6: Final answer
    x = 1,356,634.67

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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.