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Finding the Third Proportional to 515,944.69 and 1,054,837.69

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Solution

The third proportional to 515,944.69 and 1,054,837.69 is: 2,156,592.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,944.69 : 1,054,837.69 = 1,054,837.69 : x
  2. Step 2: Convert to fraction form
    515,944.69/1,054,837.69 = 1,054,837.69/x
  3. Step 3: Cross multiply
    515,944.69x = 1,054,837.69 × 1,054,837.69
  4. Step 4: Simplify right side
    515,944.69x = 1,112,682,546,970.35
  5. Step 5: Solve for x
    x = 1,112,682,546,970.35/515,944.69
  6. Step 6: Final answer
    x = 2,156,592.70

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.