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Finding the Third Proportional to 1,580,868 and 3,468,996

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Solution

The third proportional to 1,580,868 and 3,468,996 is: 7,612,231.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,868 : 3,468,996 = 3,468,996 : x
  2. Step 2: Convert to fraction form
    1,580,868/3,468,996 = 3,468,996/x
  3. Step 3: Cross multiply
    1,580,868x = 3,468,996 × 3,468,996
  4. Step 4: Simplify right side
    1,580,868x = 12,033,933,248,016
  5. Step 5: Solve for x
    x = 12,033,933,248,016/1,580,868
  6. Step 6: Final answer
    x = 7,612,231.54

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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.