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Finding the Third Proportional to 514,056 and 1,106,880

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Solution

The third proportional to 514,056 and 1,106,880 is: 2,383,365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,056 : 1,106,880 = 1,106,880 : x
  2. Step 2: Convert to fraction form
    514,056/1,106,880 = 1,106,880/x
  3. Step 3: Cross multiply
    514,056x = 1,106,880 × 1,106,880
  4. Step 4: Simplify right side
    514,056x = 1,225,183,334,400
  5. Step 5: Solve for x
    x = 1,225,183,334,400/514,056
  6. Step 6: Final answer
    x = 2,383,365.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.