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Finding the Third Proportional to 773,893.50 and 1,114,696.50

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Solution

The third proportional to 773,893.50 and 1,114,696.50 is: 1,605,580.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,893.50 : 1,114,696.50 = 1,114,696.50 : x
  2. Step 2: Convert to fraction form
    773,893.50/1,114,696.50 = 1,114,696.50/x
  3. Step 3: Cross multiply
    773,893.50x = 1,114,696.50 × 1,114,696.50
  4. Step 4: Simplify right side
    773,893.50x = 1,242,548,287,112.25
  5. Step 5: Solve for x
    x = 1,242,548,287,112.25/773,893.50
  6. Step 6: Final answer
    x = 1,605,580.47

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.