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Finding the Third Proportional to 770,514 and 1,022,661

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Solution

The third proportional to 770,514 and 1,022,661 is: 1,357,321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,514 : 1,022,661 = 1,022,661 : x
  2. Step 2: Convert to fraction form
    770,514/1,022,661 = 1,022,661/x
  3. Step 3: Cross multiply
    770,514x = 1,022,661 × 1,022,661
  4. Step 4: Simplify right side
    770,514x = 1,045,835,520,921
  5. Step 5: Solve for x
    x = 1,045,835,520,921/770,514
  6. Step 6: Final answer
    x = 1,357,321.89

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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.