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Finding the Third Proportional to 715,274 and 1,080,201

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Solution

The third proportional to 715,274 and 1,080,201 is: 1,631,310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,274 : 1,080,201 = 1,080,201 : x
  2. Step 2: Convert to fraction form
    715,274/1,080,201 = 1,080,201/x
  3. Step 3: Cross multiply
    715,274x = 1,080,201 × 1,080,201
  4. Step 4: Simplify right side
    715,274x = 1,166,834,200,401
  5. Step 5: Solve for x
    x = 1,166,834,200,401/715,274
  6. Step 6: Final answer
    x = 1,631,310.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.