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Finding the Third Proportional to 514,059 and 1,106,886

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Solution

The third proportional to 514,059 and 1,106,886 is: 2,383,377.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,059 : 1,106,886 = 1,106,886 : x
  2. Step 2: Convert to fraction form
    514,059/1,106,886 = 1,106,886/x
  3. Step 3: Cross multiply
    514,059x = 1,106,886 × 1,106,886
  4. Step 4: Simplify right side
    514,059x = 1,225,196,616,996
  5. Step 5: Solve for x
    x = 1,225,196,616,996/514,059
  6. Step 6: Final answer
    x = 2,383,377.43

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Why These Related Problems?

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