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Finding the Third Proportional to 471,344.06 and 1,024,655.06

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Solution

The third proportional to 471,344.06 and 1,024,655.06 is: 2,227,498.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,344.06 : 1,024,655.06 = 1,024,655.06 : x
  2. Step 2: Convert to fraction form
    471,344.06/1,024,655.06 = 1,024,655.06/x
  3. Step 3: Cross multiply
    471,344.06x = 1,024,655.06 × 1,024,655.06
  4. Step 4: Simplify right side
    471,344.06x = 1,049,917,997,106.88
  5. Step 5: Solve for x
    x = 1,049,917,997,106.88/471,344.06
  6. Step 6: Final answer
    x = 2,227,498.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.