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Finding the Third Proportional to 882,110.25 and 1,297,321.31

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Solution

The third proportional to 882,110.25 and 1,297,321.31 is: 1,907,973.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,110.25 : 1,297,321.31 = 1,297,321.31 : x
  2. Step 2: Convert to fraction form
    882,110.25/1,297,321.31 = 1,297,321.31/x
  3. Step 3: Cross multiply
    882,110.25x = 1,297,321.31 × 1,297,321.31
  4. Step 4: Simplify right side
    882,110.25x = 1,683,042,587,866.72
  5. Step 5: Solve for x
    x = 1,683,042,587,866.72/882,110.25
  6. Step 6: Final answer
    x = 1,907,973.05

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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.