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Finding the Third Proportional to 677,456 and 1,444,896

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Solution

The third proportional to 677,456 and 1,444,896 is: 3,081,712.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,456 : 1,444,896 = 1,444,896 : x
  2. Step 2: Convert to fraction form
    677,456/1,444,896 = 1,444,896/x
  3. Step 3: Cross multiply
    677,456x = 1,444,896 × 1,444,896
  4. Step 4: Simplify right side
    677,456x = 2,087,724,450,816
  5. Step 5: Solve for x
    x = 2,087,724,450,816/677,456
  6. Step 6: Final answer
    x = 3,081,712.25

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.