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Finding the Third Proportional to 1,628,896 and 2,485,464

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Solution

The third proportional to 1,628,896 and 2,485,464 is: 3,792,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628,896 : 2,485,464 = 2,485,464 : x
  2. Step 2: Convert to fraction form
    1,628,896/2,485,464 = 2,485,464/x
  3. Step 3: Cross multiply
    1,628,896x = 2,485,464 × 2,485,464
  4. Step 4: Simplify right side
    1,628,896x = 6,177,531,295,296
  5. Step 5: Solve for x
    x = 6,177,531,295,296/1,628,896
  6. Step 6: Final answer
    x = 3,792,465.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.