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Finding the Third Proportional to 770,774 and 1,095,588

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Solution

The third proportional to 770,774 and 1,095,588 is: 1,557,282.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,774 : 1,095,588 = 1,095,588 : x
  2. Step 2: Convert to fraction form
    770,774/1,095,588 = 1,095,588/x
  3. Step 3: Cross multiply
    770,774x = 1,095,588 × 1,095,588
  4. Step 4: Simplify right side
    770,774x = 1,200,313,065,744
  5. Step 5: Solve for x
    x = 1,200,313,065,744/770,774
  6. Step 6: Final answer
    x = 1,557,282.76

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.