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Finding the Third Proportional to 511,965 and 1,137,562

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Solution

The third proportional to 511,965 and 1,137,562 is: 2,527,608.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,965 : 1,137,562 = 1,137,562 : x
  2. Step 2: Convert to fraction form
    511,965/1,137,562 = 1,137,562/x
  3. Step 3: Cross multiply
    511,965x = 1,137,562 × 1,137,562
  4. Step 4: Simplify right side
    511,965x = 1,294,047,303,844
  5. Step 5: Solve for x
    x = 1,294,047,303,844/511,965
  6. Step 6: Final answer
    x = 2,527,608.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.