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Finding the Third Proportional to 589,700 and 883,623

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Solution

The third proportional to 589,700 and 883,623 is: 1,324,045.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,700 : 883,623 = 883,623 : x
  2. Step 2: Convert to fraction form
    589,700/883,623 = 883,623/x
  3. Step 3: Cross multiply
    589,700x = 883,623 × 883,623
  4. Step 4: Simplify right side
    589,700x = 780,789,606,129
  5. Step 5: Solve for x
    x = 780,789,606,129/589,700
  6. Step 6: Final answer
    x = 1,324,045.46

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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.