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Finding the Third Proportional to 1,212,224 and 2,549,728

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Solution

The third proportional to 1,212,224 and 2,549,728 is: 5,362,963.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,224 : 2,549,728 = 2,549,728 : x
  2. Step 2: Convert to fraction form
    1,212,224/2,549,728 = 2,549,728/x
  3. Step 3: Cross multiply
    1,212,224x = 2,549,728 × 2,549,728
  4. Step 4: Simplify right side
    1,212,224x = 6,501,112,873,984
  5. Step 5: Solve for x
    x = 6,501,112,873,984/1,212,224
  6. Step 6: Final answer
    x = 5,362,963.34

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.