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Finding the Third Proportional to 456,647.63 and 991,109.25

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Solution

The third proportional to 456,647.63 and 991,109.25 is: 2,151,106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,647.63 : 991,109.25 = 991,109.25 : x
  2. Step 2: Convert to fraction form
    456,647.63/991,109.25 = 991,109.25/x
  3. Step 3: Cross multiply
    456,647.63x = 991,109.25 × 991,109.25
  4. Step 4: Simplify right side
    456,647.63x = 982,297,545,435.56
  5. Step 5: Solve for x
    x = 982,297,545,435.56/456,647.63
  6. Step 6: Final answer
    x = 2,151,106.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.