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Finding the Third Proportional to 511,655 and 1,085,650

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Solution

The third proportional to 511,655 and 1,085,650 is: 2,303,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,655 : 1,085,650 = 1,085,650 : x
  2. Step 2: Convert to fraction form
    511,655/1,085,650 = 1,085,650/x
  3. Step 3: Cross multiply
    511,655x = 1,085,650 × 1,085,650
  4. Step 4: Simplify right side
    511,655x = 1,178,635,922,500
  5. Step 5: Solve for x
    x = 1,178,635,922,500/511,655
  6. Step 6: Final answer
    x = 2,303,575.50

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.