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Finding the Third Proportional to 589,747.50 and 1,289,886.75

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Solution

The third proportional to 589,747.50 and 1,289,886.75 is: 2,821,220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,747.50 : 1,289,886.75 = 1,289,886.75 : x
  2. Step 2: Convert to fraction form
    589,747.50/1,289,886.75 = 1,289,886.75/x
  3. Step 3: Cross multiply
    589,747.50x = 1,289,886.75 × 1,289,886.75
  4. Step 4: Simplify right side
    589,747.50x = 1,663,807,827,825.56
  5. Step 5: Solve for x
    x = 1,663,807,827,825.56/589,747.50
  6. Step 6: Final answer
    x = 2,821,220.65

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Why These Related Problems?

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