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Finding the Third Proportional to 589,933.13 and 1,284,958.69

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Solution

The third proportional to 589,933.13 and 1,284,958.69 is: 2,798,823.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,933.13 : 1,284,958.69 = 1,284,958.69 : x
  2. Step 2: Convert to fraction form
    589,933.13/1,284,958.69 = 1,284,958.69/x
  3. Step 3: Cross multiply
    589,933.13x = 1,284,958.69 × 1,284,958.69
  4. Step 4: Simplify right side
    589,933.13x = 1,651,118,828,581.72
  5. Step 5: Solve for x
    x = 1,651,118,828,581.72/589,933.13
  6. Step 6: Final answer
    x = 2,798,823.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.