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Finding the Third Proportional to 751,464 and 1,612,224

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Solution

The third proportional to 751,464 and 1,612,224 is: 3,458,936.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,464 : 1,612,224 = 1,612,224 : x
  2. Step 2: Convert to fraction form
    751,464/1,612,224 = 1,612,224/x
  3. Step 3: Cross multiply
    751,464x = 1,612,224 × 1,612,224
  4. Step 4: Simplify right side
    751,464x = 2,599,266,226,176
  5. Step 5: Solve for x
    x = 2,599,266,226,176/751,464
  6. Step 6: Final answer
    x = 3,458,936.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.