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Finding the Third Proportional to 714,071.63 and 1,043,741.63

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Solution

The third proportional to 714,071.63 and 1,043,741.63 is: 1,525,612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,071.63 : 1,043,741.63 = 1,043,741.63 : x
  2. Step 2: Convert to fraction form
    714,071.63/1,043,741.63 = 1,043,741.63/x
  3. Step 3: Cross multiply
    714,071.63x = 1,043,741.63 × 1,043,741.63
  4. Step 4: Simplify right side
    714,071.63x = 1,089,396,579,757.64
  5. Step 5: Solve for x
    x = 1,089,396,579,757.64/714,071.63
  6. Step 6: Final answer
    x = 1,525,612.48

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.