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Finding the Third Proportional to 770,769 and 1,095,582

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Solution

The third proportional to 770,769 and 1,095,582 is: 1,557,275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,769 : 1,095,582 = 1,095,582 : x
  2. Step 2: Convert to fraction form
    770,769/1,095,582 = 1,095,582/x
  3. Step 3: Cross multiply
    770,769x = 1,095,582 × 1,095,582
  4. Step 4: Simplify right side
    770,769x = 1,200,299,918,724
  5. Step 5: Solve for x
    x = 1,200,299,918,724/770,769
  6. Step 6: Final answer
    x = 1,557,275.81

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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.