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Finding the Third Proportional to 840,993 and 1,792,089

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Solution

The third proportional to 840,993 and 1,792,089 is: 3,818,798.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,993 : 1,792,089 = 1,792,089 : x
  2. Step 2: Convert to fraction form
    840,993/1,792,089 = 1,792,089/x
  3. Step 3: Cross multiply
    840,993x = 1,792,089 × 1,792,089
  4. Step 4: Simplify right side
    840,993x = 3,211,582,983,921
  5. Step 5: Solve for x
    x = 3,211,582,983,921/840,993
  6. Step 6: Final answer
    x = 3,818,798.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.