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Finding the Third Proportional to 619,273.69 and 1,024,913.25

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Solution

The third proportional to 619,273.69 and 1,024,913.25 is: 1,696,256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,273.69 : 1,024,913.25 = 1,024,913.25 : x
  2. Step 2: Convert to fraction form
    619,273.69/1,024,913.25 = 1,024,913.25/x
  3. Step 3: Cross multiply
    619,273.69x = 1,024,913.25 × 1,024,913.25
  4. Step 4: Simplify right side
    619,273.69x = 1,050,447,170,025.56
  5. Step 5: Solve for x
    x = 1,050,447,170,025.56/619,273.69
  6. Step 6: Final answer
    x = 1,696,256.75

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.