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Finding the Third Proportional to 837,108 and 1,830,696

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Solution

The third proportional to 837,108 and 1,830,696 is: 4,003,602.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,108 : 1,830,696 = 1,830,696 : x
  2. Step 2: Convert to fraction form
    837,108/1,830,696 = 1,830,696/x
  3. Step 3: Cross multiply
    837,108x = 1,830,696 × 1,830,696
  4. Step 4: Simplify right side
    837,108x = 3,351,447,844,416
  5. Step 5: Solve for x
    x = 3,351,447,844,416/837,108
  6. Step 6: Final answer
    x = 4,003,602.69

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