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Finding the Third Proportional to 589,853 and 887,696

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Solution

The third proportional to 589,853 and 887,696 is: 1,335,933.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,853 : 887,696 = 887,696 : x
  2. Step 2: Convert to fraction form
    589,853/887,696 = 887,696/x
  3. Step 3: Cross multiply
    589,853x = 887,696 × 887,696
  4. Step 4: Simplify right side
    589,853x = 788,004,188,416
  5. Step 5: Solve for x
    x = 788,004,188,416/589,853
  6. Step 6: Final answer
    x = 1,335,933.17

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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.