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Finding the Third Proportional to 833,991 and 1,830,372

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Solution

The third proportional to 833,991 and 1,830,372 is: 4,017,143.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,991 : 1,830,372 = 1,830,372 : x
  2. Step 2: Convert to fraction form
    833,991/1,830,372 = 1,830,372/x
  3. Step 3: Cross multiply
    833,991x = 1,830,372 × 1,830,372
  4. Step 4: Simplify right side
    833,991x = 3,350,261,658,384
  5. Step 5: Solve for x
    x = 3,350,261,658,384/833,991
  6. Step 6: Final answer
    x = 4,017,143.66

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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.