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Finding the Third Proportional to 829,702 and 1,809,570

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Solution

The third proportional to 829,702 and 1,809,570 is: 3,946,650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,702 : 1,809,570 = 1,809,570 : x
  2. Step 2: Convert to fraction form
    829,702/1,809,570 = 1,809,570/x
  3. Step 3: Cross multiply
    829,702x = 1,809,570 × 1,809,570
  4. Step 4: Simplify right side
    829,702x = 3,274,543,584,900
  5. Step 5: Solve for x
    x = 3,274,543,584,900/829,702
  6. Step 6: Final answer
    x = 3,946,650.22

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.