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Finding the Third Proportional to 836,907 and 1,830,306

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Solution

The third proportional to 836,907 and 1,830,306 is: 4,002,858.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,907 : 1,830,306 = 1,830,306 : x
  2. Step 2: Convert to fraction form
    836,907/1,830,306 = 1,830,306/x
  3. Step 3: Cross multiply
    836,907x = 1,830,306 × 1,830,306
  4. Step 4: Simplify right side
    836,907x = 3,350,020,053,636
  5. Step 5: Solve for x
    x = 3,350,020,053,636/836,907
  6. Step 6: Final answer
    x = 4,002,858.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.