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Finding the Third Proportional to 455,886 and 978,232

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Solution

The third proportional to 455,886 and 978,232 is: 2,099,072.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,886 : 978,232 = 978,232 : x
  2. Step 2: Convert to fraction form
    455,886/978,232 = 978,232/x
  3. Step 3: Cross multiply
    455,886x = 978,232 × 978,232
  4. Step 4: Simplify right side
    455,886x = 956,937,845,824
  5. Step 5: Solve for x
    x = 956,937,845,824/455,886
  6. Step 6: Final answer
    x = 2,099,072.68

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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.