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Finding the Third Proportional to 513,456 and 1,144,971

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Solution

The third proportional to 513,456 and 1,144,971 is: 2,553,205.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,456 : 1,144,971 = 1,144,971 : x
  2. Step 2: Convert to fraction form
    513,456/1,144,971 = 1,144,971/x
  3. Step 3: Cross multiply
    513,456x = 1,144,971 × 1,144,971
  4. Step 4: Simplify right side
    513,456x = 1,310,958,590,841
  5. Step 5: Solve for x
    x = 1,310,958,590,841/513,456
  6. Step 6: Final answer
    x = 2,553,205.32

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.