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Finding the Third Proportional to 578,139 and 1,271,608

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Solution

The third proportional to 578,139 and 1,271,608 is: 2,796,882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,139 : 1,271,608 = 1,271,608 : x
  2. Step 2: Convert to fraction form
    578,139/1,271,608 = 1,271,608/x
  3. Step 3: Cross multiply
    578,139x = 1,271,608 × 1,271,608
  4. Step 4: Simplify right side
    578,139x = 1,616,986,905,664
  5. Step 5: Solve for x
    x = 1,616,986,905,664/578,139
  6. Step 6: Final answer
    x = 2,796,882.59

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.