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Finding the Third Proportional to 571,920.75 and 1,129,487.63

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Solution

The third proportional to 571,920.75 and 1,129,487.63 is: 2,230,627.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,920.75 : 1,129,487.63 = 1,129,487.63 : x
  2. Step 2: Convert to fraction form
    571,920.75/1,129,487.63 = 1,129,487.63/x
  3. Step 3: Cross multiply
    571,920.75x = 1,129,487.63 × 1,129,487.63
  4. Step 4: Simplify right side
    571,920.75x = 1,275,742,295,028.14
  5. Step 5: Solve for x
    x = 1,275,742,295,028.14/571,920.75
  6. Step 6: Final answer
    x = 2,230,627.75

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.