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Finding the Third Proportional to 654,771 and 1,447,200

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Solution

The third proportional to 654,771 and 1,447,200 is: 3,198,657.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,771 : 1,447,200 = 1,447,200 : x
  2. Step 2: Convert to fraction form
    654,771/1,447,200 = 1,447,200/x
  3. Step 3: Cross multiply
    654,771x = 1,447,200 × 1,447,200
  4. Step 4: Simplify right side
    654,771x = 2,094,387,840,000
  5. Step 5: Solve for x
    x = 2,094,387,840,000/654,771
  6. Step 6: Final answer
    x = 3,198,657.00

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.