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Finding the Third Proportional to 612,927 and 1,299,573

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Solution

The third proportional to 612,927 and 1,299,573 is: 2,755,450.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,927 : 1,299,573 = 1,299,573 : x
  2. Step 2: Convert to fraction form
    612,927/1,299,573 = 1,299,573/x
  3. Step 3: Cross multiply
    612,927x = 1,299,573 × 1,299,573
  4. Step 4: Simplify right side
    612,927x = 1,688,889,982,329
  5. Step 5: Solve for x
    x = 1,688,889,982,329/612,927
  6. Step 6: Final answer
    x = 2,755,450.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.