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Finding the Third Proportional to 453,682 and 978,232

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Solution

The third proportional to 453,682 and 978,232 is: 2,109,270.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,682 : 978,232 = 978,232 : x
  2. Step 2: Convert to fraction form
    453,682/978,232 = 978,232/x
  3. Step 3: Cross multiply
    453,682x = 978,232 × 978,232
  4. Step 4: Simplify right side
    453,682x = 956,937,845,824
  5. Step 5: Solve for x
    x = 956,937,845,824/453,682
  6. Step 6: Final answer
    x = 2,109,270.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.