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Finding the Third Proportional to 770,544 and 1,022,706

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Solution

The third proportional to 770,544 and 1,022,706 is: 1,357,388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,544 : 1,022,706 = 1,022,706 : x
  2. Step 2: Convert to fraction form
    770,544/1,022,706 = 1,022,706/x
  3. Step 3: Cross multiply
    770,544x = 1,022,706 × 1,022,706
  4. Step 4: Simplify right side
    770,544x = 1,045,927,562,436
  5. Step 5: Solve for x
    x = 1,045,927,562,436/770,544
  6. Step 6: Final answer
    x = 1,357,388.50

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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.