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Finding the Third Proportional to 588,033 and 1,288,143

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Solution

The third proportional to 588,033 and 1,288,143 is: 2,821,801.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,033 : 1,288,143 = 1,288,143 : x
  2. Step 2: Convert to fraction form
    588,033/1,288,143 = 1,288,143/x
  3. Step 3: Cross multiply
    588,033x = 1,288,143 × 1,288,143
  4. Step 4: Simplify right side
    588,033x = 1,659,312,388,449
  5. Step 5: Solve for x
    x = 1,659,312,388,449/588,033
  6. Step 6: Final answer
    x = 2,821,801.48

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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.