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Finding the Third Proportional to 1,722,284 and 2,835,922

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Solution

The third proportional to 1,722,284 and 2,835,922 is: 4,669,644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722,284 : 2,835,922 = 2,835,922 : x
  2. Step 2: Convert to fraction form
    1,722,284/2,835,922 = 2,835,922/x
  3. Step 3: Cross multiply
    1,722,284x = 2,835,922 × 2,835,922
  4. Step 4: Simplify right side
    1,722,284x = 8,042,453,590,084
  5. Step 5: Solve for x
    x = 8,042,453,590,084/1,722,284
  6. Step 6: Final answer
    x = 4,669,644.26

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.