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Finding the Third Proportional to 593,489 and 1,257,610

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Solution

The third proportional to 593,489 and 1,257,610 is: 2,664,890.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,489 : 1,257,610 = 1,257,610 : x
  2. Step 2: Convert to fraction form
    593,489/1,257,610 = 1,257,610/x
  3. Step 3: Cross multiply
    593,489x = 1,257,610 × 1,257,610
  4. Step 4: Simplify right side
    593,489x = 1,581,582,912,100
  5. Step 5: Solve for x
    x = 1,581,582,912,100/593,489
  6. Step 6: Final answer
    x = 2,664,890.02

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.