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Finding the Third Proportional to 751,973.63 and 1,565,906.63

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Solution

The third proportional to 751,973.63 and 1,565,906.63 is: 3,260,837.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,973.63 : 1,565,906.63 = 1,565,906.63 : x
  2. Step 2: Convert to fraction form
    751,973.63/1,565,906.63 = 1,565,906.63/x
  3. Step 3: Cross multiply
    751,973.63x = 1,565,906.63 × 1,565,906.63
  4. Step 4: Simplify right side
    751,973.63x = 2,452,063,558,218.89
  5. Step 5: Solve for x
    x = 2,452,063,558,218.89/751,973.63
  6. Step 6: Final answer
    x = 3,260,837.18

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.