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Finding the Third Proportional to 620,649 and 949,009.50

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Solution

The third proportional to 620,649 and 949,009.50 is: 1,451,092.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,649 : 949,009.50 = 949,009.50 : x
  2. Step 2: Convert to fraction form
    620,649/949,009.50 = 949,009.50/x
  3. Step 3: Cross multiply
    620,649x = 949,009.50 × 949,009.50
  4. Step 4: Simplify right side
    620,649x = 900,619,031,090.25
  5. Step 5: Solve for x
    x = 900,619,031,090.25/620,649
  6. Step 6: Final answer
    x = 1,451,092.37

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.