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Finding the Third Proportional to 863,734 and 1,782,791

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Solution

The third proportional to 863,734 and 1,782,791 is: 3,679,771.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,734 : 1,782,791 = 1,782,791 : x
  2. Step 2: Convert to fraction form
    863,734/1,782,791 = 1,782,791/x
  3. Step 3: Cross multiply
    863,734x = 1,782,791 × 1,782,791
  4. Step 4: Simplify right side
    863,734x = 3,178,343,749,681
  5. Step 5: Solve for x
    x = 3,178,343,749,681/863,734
  6. Step 6: Final answer
    x = 3,679,771.49

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.