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Finding the Third Proportional to 589,696 and 883,617

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Solution

The third proportional to 589,696 and 883,617 is: 1,324,036.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,696 : 883,617 = 883,617 : x
  2. Step 2: Convert to fraction form
    589,696/883,617 = 883,617/x
  3. Step 3: Cross multiply
    589,696x = 883,617 × 883,617
  4. Step 4: Simplify right side
    589,696x = 780,779,002,689
  5. Step 5: Solve for x
    x = 780,779,002,689/589,696
  6. Step 6: Final answer
    x = 1,324,036.46

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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.