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Finding the Third Proportional to 681,503.63 and 1,486,788.75

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Solution

The third proportional to 681,503.63 and 1,486,788.75 is: 3,243,622.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,503.63 : 1,486,788.75 = 1,486,788.75 : x
  2. Step 2: Convert to fraction form
    681,503.63/1,486,788.75 = 1,486,788.75/x
  3. Step 3: Cross multiply
    681,503.63x = 1,486,788.75 × 1,486,788.75
  4. Step 4: Simplify right side
    681,503.63x = 2,210,540,787,126.56
  5. Step 5: Solve for x
    x = 2,210,540,787,126.56/681,503.63
  6. Step 6: Final answer
    x = 3,243,622.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.