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Finding the Third Proportional to 612,966 and 1,299,654

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Solution

The third proportional to 612,966 and 1,299,654 is: 2,755,618.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,966 : 1,299,654 = 1,299,654 : x
  2. Step 2: Convert to fraction form
    612,966/1,299,654 = 1,299,654/x
  3. Step 3: Cross multiply
    612,966x = 1,299,654 × 1,299,654
  4. Step 4: Simplify right side
    612,966x = 1,689,100,519,716
  5. Step 5: Solve for x
    x = 1,689,100,519,716/612,966
  6. Step 6: Final answer
    x = 2,755,618.61

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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.