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Finding the Third Proportional to 1,823,084 and 2,830,194

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Solution

The third proportional to 1,823,084 and 2,830,194 is: 4,393,652.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823,084 : 2,830,194 = 2,830,194 : x
  2. Step 2: Convert to fraction form
    1,823,084/2,830,194 = 2,830,194/x
  3. Step 3: Cross multiply
    1,823,084x = 2,830,194 × 2,830,194
  4. Step 4: Simplify right side
    1,823,084x = 8,009,998,077,636
  5. Step 5: Solve for x
    x = 8,009,998,077,636/1,823,084
  6. Step 6: Final answer
    x = 4,393,652.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.