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Finding the Third Proportional to 668,049 and 1,575,412

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Solution

The third proportional to 668,049 and 1,575,412 is: 3,715,181.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,049 : 1,575,412 = 1,575,412 : x
  2. Step 2: Convert to fraction form
    668,049/1,575,412 = 1,575,412/x
  3. Step 3: Cross multiply
    668,049x = 1,575,412 × 1,575,412
  4. Step 4: Simplify right side
    668,049x = 2,481,922,969,744
  5. Step 5: Solve for x
    x = 2,481,922,969,744/668,049
  6. Step 6: Final answer
    x = 3,715,181.03

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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.