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Finding the Third Proportional to 588,600 and 1,270,458

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Solution

The third proportional to 588,600 and 1,270,458 is: 2,742,207.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,600 : 1,270,458 = 1,270,458 : x
  2. Step 2: Convert to fraction form
    588,600/1,270,458 = 1,270,458/x
  3. Step 3: Cross multiply
    588,600x = 1,270,458 × 1,270,458
  4. Step 4: Simplify right side
    588,600x = 1,614,063,529,764
  5. Step 5: Solve for x
    x = 1,614,063,529,764/588,600
  6. Step 6: Final answer
    x = 2,742,207.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.