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Finding the Third Proportional to 580,873 and 1,253,520

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Solution

The third proportional to 580,873 and 1,253,520 is: 2,705,087.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,873 : 1,253,520 = 1,253,520 : x
  2. Step 2: Convert to fraction form
    580,873/1,253,520 = 1,253,520/x
  3. Step 3: Cross multiply
    580,873x = 1,253,520 × 1,253,520
  4. Step 4: Simplify right side
    580,873x = 1,571,312,390,400
  5. Step 5: Solve for x
    x = 1,571,312,390,400/580,873
  6. Step 6: Final answer
    x = 2,705,087.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.