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Finding the Third Proportional to 833,904 and 1,626,328

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Solution

The third proportional to 833,904 and 1,626,328 is: 3,171,759.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,904 : 1,626,328 = 1,626,328 : x
  2. Step 2: Convert to fraction form
    833,904/1,626,328 = 1,626,328/x
  3. Step 3: Cross multiply
    833,904x = 1,626,328 × 1,626,328
  4. Step 4: Simplify right side
    833,904x = 2,644,942,763,584
  5. Step 5: Solve for x
    x = 2,644,942,763,584/833,904
  6. Step 6: Final answer
    x = 3,171,759.30

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.