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Finding the Third Proportional to 1,047,690 and 2,287,288

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Solution

The third proportional to 1,047,690 and 2,287,288 is: 4,993,544.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,690 : 2,287,288 = 2,287,288 : x
  2. Step 2: Convert to fraction form
    1,047,690/2,287,288 = 2,287,288/x
  3. Step 3: Cross multiply
    1,047,690x = 2,287,288 × 2,287,288
  4. Step 4: Simplify right side
    1,047,690x = 5,231,686,394,944
  5. Step 5: Solve for x
    x = 5,231,686,394,944/1,047,690
  6. Step 6: Final answer
    x = 4,993,544.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.