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Finding the Third Proportional to 589,886.75 and 902,022.25

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Solution

The third proportional to 589,886.75 and 902,022.25 is: 1,379,322.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,886.75 : 902,022.25 = 902,022.25 : x
  2. Step 2: Convert to fraction form
    589,886.75/902,022.25 = 902,022.25/x
  3. Step 3: Cross multiply
    589,886.75x = 902,022.25 × 902,022.25
  4. Step 4: Simplify right side
    589,886.75x = 813,644,139,495.06
  5. Step 5: Solve for x
    x = 813,644,139,495.06/589,886.75
  6. Step 6: Final answer
    x = 1,379,322.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.