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Finding the Third Proportional to 589,694 and 883,614

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Solution

The third proportional to 589,694 and 883,614 is: 1,324,031.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,694 : 883,614 = 883,614 : x
  2. Step 2: Convert to fraction form
    589,694/883,614 = 883,614/x
  3. Step 3: Cross multiply
    589,694x = 883,614 × 883,614
  4. Step 4: Simplify right side
    589,694x = 780,773,700,996
  5. Step 5: Solve for x
    x = 780,773,700,996/589,694
  6. Step 6: Final answer
    x = 1,324,031.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.