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Finding the Third Proportional to 1,696,434 and 3,697,704

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Solution

The third proportional to 1,696,434 and 3,697,704 is: 8,059,856.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696,434 : 3,697,704 = 3,697,704 : x
  2. Step 2: Convert to fraction form
    1,696,434/3,697,704 = 3,697,704/x
  3. Step 3: Cross multiply
    1,696,434x = 3,697,704 × 3,697,704
  4. Step 4: Simplify right side
    1,696,434x = 13,673,014,871,616
  5. Step 5: Solve for x
    x = 13,673,014,871,616/1,696,434
  6. Step 6: Final answer
    x = 8,059,856.66

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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.