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Finding the Third Proportional to 493,852 and 1,082,074

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Solution

The third proportional to 493,852 and 1,082,074 is: 2,370,921.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,852 : 1,082,074 = 1,082,074 : x
  2. Step 2: Convert to fraction form
    493,852/1,082,074 = 1,082,074/x
  3. Step 3: Cross multiply
    493,852x = 1,082,074 × 1,082,074
  4. Step 4: Simplify right side
    493,852x = 1,170,884,141,476
  5. Step 5: Solve for x
    x = 1,170,884,141,476/493,852
  6. Step 6: Final answer
    x = 2,370,921.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.