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Finding the Third Proportional to 719,856 and 1,666,512

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Solution

The third proportional to 719,856 and 1,666,512 is: 3,858,080.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,856 : 1,666,512 = 1,666,512 : x
  2. Step 2: Convert to fraction form
    719,856/1,666,512 = 1,666,512/x
  3. Step 3: Cross multiply
    719,856x = 1,666,512 × 1,666,512
  4. Step 4: Simplify right side
    719,856x = 2,777,262,246,144
  5. Step 5: Solve for x
    x = 2,777,262,246,144/719,856
  6. Step 6: Final answer
    x = 3,858,080.29

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.