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Finding the Third Proportional to 456,640.03 and 991,094.48

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Solution

The third proportional to 456,640.03 and 991,094.48 is: 2,151,077.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,640.03 : 991,094.48 = 991,094.48 : x
  2. Step 2: Convert to fraction form
    456,640.03/991,094.48 = 991,094.48/x
  3. Step 3: Cross multiply
    456,640.03x = 991,094.48 × 991,094.48
  4. Step 4: Simplify right side
    456,640.03x = 982,268,276,958.55
  5. Step 5: Solve for x
    x = 982,268,276,958.55/456,640.03
  6. Step 6: Final answer
    x = 2,151,077.89

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Why These Related Problems?

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