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Finding the Third Proportional to 1,330,650 and 2,084,669

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Solution

The third proportional to 1,330,650 and 2,084,669 is: 3,265,956.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330,650 : 2,084,669 = 2,084,669 : x
  2. Step 2: Convert to fraction form
    1,330,650/2,084,669 = 2,084,669/x
  3. Step 3: Cross multiply
    1,330,650x = 2,084,669 × 2,084,669
  4. Step 4: Simplify right side
    1,330,650x = 4,345,844,839,561
  5. Step 5: Solve for x
    x = 4,345,844,839,561/1,330,650
  6. Step 6: Final answer
    x = 3,265,956.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.