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Finding the Third Proportional to 758,016 and 1,114,857.75

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Solution

The third proportional to 758,016 and 1,114,857.75 is: 1,639,685.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,016 : 1,114,857.75 = 1,114,857.75 : x
  2. Step 2: Convert to fraction form
    758,016/1,114,857.75 = 1,114,857.75/x
  3. Step 3: Cross multiply
    758,016x = 1,114,857.75 × 1,114,857.75
  4. Step 4: Simplify right side
    758,016x = 1,242,907,802,735.06
  5. Step 5: Solve for x
    x = 1,242,907,802,735.06/758,016
  6. Step 6: Final answer
    x = 1,639,685.45

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.