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Finding the Third Proportional to 1,691,629 and 3,647,332

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Solution

The third proportional to 1,691,629 and 3,647,332 is: 7,864,035.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,629 : 3,647,332 = 3,647,332 : x
  2. Step 2: Convert to fraction form
    1,691,629/3,647,332 = 3,647,332/x
  3. Step 3: Cross multiply
    1,691,629x = 3,647,332 × 3,647,332
  4. Step 4: Simplify right side
    1,691,629x = 13,303,030,718,224
  5. Step 5: Solve for x
    x = 13,303,030,718,224/1,691,629
  6. Step 6: Final answer
    x = 7,864,035.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.