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Finding the Third Proportional to 774,366 and 1,697,772

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Solution

The third proportional to 774,366 and 1,697,772 is: 3,722,309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,366 : 1,697,772 = 1,697,772 : x
  2. Step 2: Convert to fraction form
    774,366/1,697,772 = 1,697,772/x
  3. Step 3: Cross multiply
    774,366x = 1,697,772 × 1,697,772
  4. Step 4: Simplify right side
    774,366x = 2,882,429,763,984
  5. Step 5: Solve for x
    x = 2,882,429,763,984/774,366
  6. Step 6: Final answer
    x = 3,722,309.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.