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Finding the Third Proportional to 515,422.88 and 1,109,495.63

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Solution

The third proportional to 515,422.88 and 1,109,495.63 is: 2,388,292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,422.88 : 1,109,495.63 = 1,109,495.63 : x
  2. Step 2: Convert to fraction form
    515,422.88/1,109,495.63 = 1,109,495.63/x
  3. Step 3: Cross multiply
    515,422.88x = 1,109,495.63 × 1,109,495.63
  4. Step 4: Simplify right side
    515,422.88x = 1,230,980,541,894.14
  5. Step 5: Solve for x
    x = 1,230,980,541,894.14/515,422.88
  6. Step 6: Final answer
    x = 2,388,292.41

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.