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Finding the Third Proportional to 694,487.63 and 1,043,580.38

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Solution

The third proportional to 694,487.63 and 1,043,580.38 is: 1,568,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,487.63 : 1,043,580.38 = 1,043,580.38 : x
  2. Step 2: Convert to fraction form
    694,487.63/1,043,580.38 = 1,043,580.38/x
  3. Step 3: Cross multiply
    694,487.63x = 1,043,580.38 × 1,043,580.38
  4. Step 4: Simplify right side
    694,487.63x = 1,089,059,999,085.14
  5. Step 5: Solve for x
    x = 1,089,059,999,085.14/694,487.63
  6. Step 6: Final answer
    x = 1,568,148.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.