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Finding the Third Proportional to 894,242 and 1,395,795

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Solution

The third proportional to 894,242 and 1,395,795 is: 2,178,653.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,242 : 1,395,795 = 1,395,795 : x
  2. Step 2: Convert to fraction form
    894,242/1,395,795 = 1,395,795/x
  3. Step 3: Cross multiply
    894,242x = 1,395,795 × 1,395,795
  4. Step 4: Simplify right side
    894,242x = 1,948,243,682,025
  5. Step 5: Solve for x
    x = 1,948,243,682,025/894,242
  6. Step 6: Final answer
    x = 2,178,653.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.