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Finding the Third Proportional to 511,299 and 1,112,382

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Solution

The third proportional to 511,299 and 1,112,382 is: 2,420,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,299 : 1,112,382 = 1,112,382 : x
  2. Step 2: Convert to fraction form
    511,299/1,112,382 = 1,112,382/x
  3. Step 3: Cross multiply
    511,299x = 1,112,382 × 1,112,382
  4. Step 4: Simplify right side
    511,299x = 1,237,393,713,924
  5. Step 5: Solve for x
    x = 1,237,393,713,924/511,299
  6. Step 6: Final answer
    x = 2,420,098.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.