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Finding the Third Proportional to 660,273.50 and 1,447,119.50

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Solution

The third proportional to 660,273.50 and 1,447,119.50 is: 3,171,647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,273.50 : 1,447,119.50 = 1,447,119.50 : x
  2. Step 2: Convert to fraction form
    660,273.50/1,447,119.50 = 1,447,119.50/x
  3. Step 3: Cross multiply
    660,273.50x = 1,447,119.50 × 1,447,119.50
  4. Step 4: Simplify right side
    660,273.50x = 2,094,154,847,280.25
  5. Step 5: Solve for x
    x = 2,094,154,847,280.25/660,273.50
  6. Step 6: Final answer
    x = 3,171,647.58

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.