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Finding the Third Proportional to 1,537,876 and 3,365,268

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Solution

The third proportional to 1,537,876 and 3,365,268 is: 7,364,071.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,876 : 3,365,268 = 3,365,268 : x
  2. Step 2: Convert to fraction form
    1,537,876/3,365,268 = 3,365,268/x
  3. Step 3: Cross multiply
    1,537,876x = 3,365,268 × 3,365,268
  4. Step 4: Simplify right side
    1,537,876x = 11,325,028,711,824
  5. Step 5: Solve for x
    x = 11,325,028,711,824/1,537,876
  6. Step 6: Final answer
    x = 7,364,071.43

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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.