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Finding the Third Proportional to 511,848 and 1,120,464

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Solution

The third proportional to 511,848 and 1,120,464 is: 2,452,758.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,848 : 1,120,464 = 1,120,464 : x
  2. Step 2: Convert to fraction form
    511,848/1,120,464 = 1,120,464/x
  3. Step 3: Cross multiply
    511,848x = 1,120,464 × 1,120,464
  4. Step 4: Simplify right side
    511,848x = 1,255,439,575,296
  5. Step 5: Solve for x
    x = 1,255,439,575,296/511,848
  6. Step 6: Final answer
    x = 2,452,758.58

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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.