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Finding the Third Proportional to 1,827,986 and 2,919,099

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Solution

The third proportional to 1,827,986 and 2,919,099 is: 4,661,490.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827,986 : 2,919,099 = 2,919,099 : x
  2. Step 2: Convert to fraction form
    1,827,986/2,919,099 = 2,919,099/x
  3. Step 3: Cross multiply
    1,827,986x = 2,919,099 × 2,919,099
  4. Step 4: Simplify right side
    1,827,986x = 8,521,138,971,801
  5. Step 5: Solve for x
    x = 8,521,138,971,801/1,827,986
  6. Step 6: Final answer
    x = 4,661,490.28

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.