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Finding the Third Proportional to 510,889 and 1,204,307

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Solution

The third proportional to 510,889 and 1,204,307 is: 2,838,885.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,889 : 1,204,307 = 1,204,307 : x
  2. Step 2: Convert to fraction form
    510,889/1,204,307 = 1,204,307/x
  3. Step 3: Cross multiply
    510,889x = 1,204,307 × 1,204,307
  4. Step 4: Simplify right side
    510,889x = 1,450,355,350,249
  5. Step 5: Solve for x
    x = 1,450,355,350,249/510,889
  6. Step 6: Final answer
    x = 2,838,885.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.