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Finding the Third Proportional to 829,712 and 1,809,592

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Solution

The third proportional to 829,712 and 1,809,592 is: 3,946,698.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,712 : 1,809,592 = 1,809,592 : x
  2. Step 2: Convert to fraction form
    829,712/1,809,592 = 1,809,592/x
  3. Step 3: Cross multiply
    829,712x = 1,809,592 × 1,809,592
  4. Step 4: Simplify right side
    829,712x = 3,274,623,206,464
  5. Step 5: Solve for x
    x = 3,274,623,206,464/829,712
  6. Step 6: Final answer
    x = 3,946,698.62

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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.