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Finding the Third Proportional to 1,696,938 and 3,659,415

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Solution

The third proportional to 1,696,938 and 3,659,415 is: 7,891,459.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696,938 : 3,659,415 = 3,659,415 : x
  2. Step 2: Convert to fraction form
    1,696,938/3,659,415 = 3,659,415/x
  3. Step 3: Cross multiply
    1,696,938x = 3,659,415 × 3,659,415
  4. Step 4: Simplify right side
    1,696,938x = 13,391,318,142,225
  5. Step 5: Solve for x
    x = 13,391,318,142,225/1,696,938
  6. Step 6: Final answer
    x = 7,891,459.88

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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.