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Finding the Third Proportional to 694,712 and 1,043,751

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Solution

The third proportional to 694,712 and 1,043,751 is: 1,568,155.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,712 : 1,043,751 = 1,043,751 : x
  2. Step 2: Convert to fraction form
    694,712/1,043,751 = 1,043,751/x
  3. Step 3: Cross multiply
    694,712x = 1,043,751 × 1,043,751
  4. Step 4: Simplify right side
    694,712x = 1,089,416,150,001
  5. Step 5: Solve for x
    x = 1,089,416,150,001/694,712
  6. Step 6: Final answer
    x = 1,568,155.08

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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.