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Finding the Third Proportional to 770,698 and 1,022,895

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Solution

The third proportional to 770,698 and 1,022,895 is: 1,357,618.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,698 : 1,022,895 = 1,022,895 : x
  2. Step 2: Convert to fraction form
    770,698/1,022,895 = 1,022,895/x
  3. Step 3: Cross multiply
    770,698x = 1,022,895 × 1,022,895
  4. Step 4: Simplify right side
    770,698x = 1,046,314,181,025
  5. Step 5: Solve for x
    x = 1,046,314,181,025/770,698
  6. Step 6: Final answer
    x = 1,357,618.91

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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.