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Finding the Third Proportional to 779,670 and 1,166,269

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Solution

The third proportional to 779,670 and 1,166,269 is: 1,744,562.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,670 : 1,166,269 = 1,166,269 : x
  2. Step 2: Convert to fraction form
    779,670/1,166,269 = 1,166,269/x
  3. Step 3: Cross multiply
    779,670x = 1,166,269 × 1,166,269
  4. Step 4: Simplify right side
    779,670x = 1,360,183,380,361
  5. Step 5: Solve for x
    x = 1,360,183,380,361/779,670
  6. Step 6: Final answer
    x = 1,744,562.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.