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Finding the Third Proportional to 1,410,203 and 2,148,344

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Solution

The third proportional to 1,410,203 and 2,148,344 is: 3,272,849.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,203 : 2,148,344 = 2,148,344 : x
  2. Step 2: Convert to fraction form
    1,410,203/2,148,344 = 2,148,344/x
  3. Step 3: Cross multiply
    1,410,203x = 2,148,344 × 2,148,344
  4. Step 4: Simplify right side
    1,410,203x = 4,615,381,942,336
  5. Step 5: Solve for x
    x = 4,615,381,942,336/1,410,203
  6. Step 6: Final answer
    x = 3,272,849.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.