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Finding the Third Proportional to 1,686,960 and 3,643,728

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Solution

The third proportional to 1,686,960 and 3,643,728 is: 7,870,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686,960 : 3,643,728 = 3,643,728 : x
  2. Step 2: Convert to fraction form
    1,686,960/3,643,728 = 3,643,728/x
  3. Step 3: Cross multiply
    1,686,960x = 3,643,728 × 3,643,728
  4. Step 4: Simplify right side
    1,686,960x = 13,276,753,737,984
  5. Step 5: Solve for x
    x = 13,276,753,737,984/1,686,960
  6. Step 6: Final answer
    x = 7,870,224.39

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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.