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Finding the Third Proportional to 1,348,056 and 2,911,968

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Solution

The third proportional to 1,348,056 and 2,911,968 is: 6,290,211.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348,056 : 2,911,968 = 2,911,968 : x
  2. Step 2: Convert to fraction form
    1,348,056/2,911,968 = 2,911,968/x
  3. Step 3: Cross multiply
    1,348,056x = 2,911,968 × 2,911,968
  4. Step 4: Simplify right side
    1,348,056x = 8,479,557,633,024
  5. Step 5: Solve for x
    x = 8,479,557,633,024/1,348,056
  6. Step 6: Final answer
    x = 6,290,211.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.