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Finding the Third Proportional to 825,991 and 1,696,446

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Solution

The third proportional to 825,991 and 1,696,446 is: 3,484,213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,991 : 1,696,446 = 1,696,446 : x
  2. Step 2: Convert to fraction form
    825,991/1,696,446 = 1,696,446/x
  3. Step 3: Cross multiply
    825,991x = 1,696,446 × 1,696,446
  4. Step 4: Simplify right side
    825,991x = 2,877,929,030,916
  5. Step 5: Solve for x
    x = 2,877,929,030,916/825,991
  6. Step 6: Final answer
    x = 3,484,213.55

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.