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Finding the Third Proportional to 770,548 and 1,022,436

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Solution

The third proportional to 770,548 and 1,022,436 is: 1,356,664.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,548 : 1,022,436 = 1,022,436 : x
  2. Step 2: Convert to fraction form
    770,548/1,022,436 = 1,022,436/x
  3. Step 3: Cross multiply
    770,548x = 1,022,436 × 1,022,436
  4. Step 4: Simplify right side
    770,548x = 1,045,375,374,096
  5. Step 5: Solve for x
    x = 1,045,375,374,096/770,548
  6. Step 6: Final answer
    x = 1,356,664.83

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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.