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Finding the Third Proportional to 809,734 and 1,153,477

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Solution

The third proportional to 809,734 and 1,153,477 is: 1,643,143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,734 : 1,153,477 = 1,153,477 : x
  2. Step 2: Convert to fraction form
    809,734/1,153,477 = 1,153,477/x
  3. Step 3: Cross multiply
    809,734x = 1,153,477 × 1,153,477
  4. Step 4: Simplify right side
    809,734x = 1,330,509,189,529
  5. Step 5: Solve for x
    x = 1,330,509,189,529/809,734
  6. Step 6: Final answer
    x = 1,643,143.54

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.