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Finding the Third Proportional to 727,056 and 1,555,200

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Solution

The third proportional to 727,056 and 1,555,200 is: 3,326,631.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,056 : 1,555,200 = 1,555,200 : x
  2. Step 2: Convert to fraction form
    727,056/1,555,200 = 1,555,200/x
  3. Step 3: Cross multiply
    727,056x = 1,555,200 × 1,555,200
  4. Step 4: Simplify right side
    727,056x = 2,418,647,040,000
  5. Step 5: Solve for x
    x = 2,418,647,040,000/727,056
  6. Step 6: Final answer
    x = 3,326,631.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.