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Finding the Third Proportional to 511,858 and 1,120,484

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Solution

The third proportional to 511,858 and 1,120,484 is: 2,452,798.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,858 : 1,120,484 = 1,120,484 : x
  2. Step 2: Convert to fraction form
    511,858/1,120,484 = 1,120,484/x
  3. Step 3: Cross multiply
    511,858x = 1,120,484 × 1,120,484
  4. Step 4: Simplify right side
    511,858x = 1,255,484,394,256
  5. Step 5: Solve for x
    x = 1,255,484,394,256/511,858
  6. Step 6: Final answer
    x = 2,452,798.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.