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Finding the Third Proportional to 510,346 and 1,192,021

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Solution

The third proportional to 510,346 and 1,192,021 is: 2,784,217.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,346 : 1,192,021 = 1,192,021 : x
  2. Step 2: Convert to fraction form
    510,346/1,192,021 = 1,192,021/x
  3. Step 3: Cross multiply
    510,346x = 1,192,021 × 1,192,021
  4. Step 4: Simplify right side
    510,346x = 1,420,914,064,441
  5. Step 5: Solve for x
    x = 1,420,914,064,441/510,346
  6. Step 6: Final answer
    x = 2,784,217.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.