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Finding the Third Proportional to 863,084 and 1,760,440

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Solution

The third proportional to 863,084 and 1,760,440 is: 3,590,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,084 : 1,760,440 = 1,760,440 : x
  2. Step 2: Convert to fraction form
    863,084/1,760,440 = 1,760,440/x
  3. Step 3: Cross multiply
    863,084x = 1,760,440 × 1,760,440
  4. Step 4: Simplify right side
    863,084x = 3,099,148,993,600
  5. Step 5: Solve for x
    x = 3,099,148,993,600/863,084
  6. Step 6: Final answer
    x = 3,590,784.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.