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Finding the Third Proportional to 818,923 and 1,771,984

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Solution

The third proportional to 818,923 and 1,771,984 is: 3,834,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,923 : 1,771,984 = 1,771,984 : x
  2. Step 2: Convert to fraction form
    818,923/1,771,984 = 1,771,984/x
  3. Step 3: Cross multiply
    818,923x = 1,771,984 × 1,771,984
  4. Step 4: Simplify right side
    818,923x = 3,139,927,296,256
  5. Step 5: Solve for x
    x = 3,139,927,296,256/818,923
  6. Step 6: Final answer
    x = 3,834,215.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.