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Finding the Third Proportional to 511,488 and 1,112,904

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Solution

The third proportional to 511,488 and 1,112,904 is: 2,421,474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,488 : 1,112,904 = 1,112,904 : x
  2. Step 2: Convert to fraction form
    511,488/1,112,904 = 1,112,904/x
  3. Step 3: Cross multiply
    511,488x = 1,112,904 × 1,112,904
  4. Step 4: Simplify right side
    511,488x = 1,238,555,313,216
  5. Step 5: Solve for x
    x = 1,238,555,313,216/511,488
  6. Step 6: Final answer
    x = 2,421,474.82

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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.