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Finding the Third Proportional to 589,837.50 and 1,290,062.25

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Solution

The third proportional to 589,837.50 and 1,290,062.25 is: 2,821,557.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,837.50 : 1,290,062.25 = 1,290,062.25 : x
  2. Step 2: Convert to fraction form
    589,837.50/1,290,062.25 = 1,290,062.25/x
  3. Step 3: Cross multiply
    589,837.50x = 1,290,062.25 × 1,290,062.25
  4. Step 4: Simplify right side
    589,837.50x = 1,664,260,608,875.06
  5. Step 5: Solve for x
    x = 1,664,260,608,875.06/589,837.50
  6. Step 6: Final answer
    x = 2,821,557.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.