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Finding the Third Proportional to 751,409.16 and 1,772,026.24

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Solution

The third proportional to 751,409.16 and 1,772,026.24 is: 4,178,917.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,409.16 : 1,772,026.24 = 1,772,026.24 : x
  2. Step 2: Convert to fraction form
    751,409.16/1,772,026.24 = 1,772,026.24/x
  3. Step 3: Cross multiply
    751,409.16x = 1,772,026.24 × 1,772,026.24
  4. Step 4: Simplify right side
    751,409.16x = 3,140,077,003,001.15
  5. Step 5: Solve for x
    x = 3,140,077,003,001.15/751,409.16
  6. Step 6: Final answer
    x = 4,178,917.67

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.