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Finding the Third Proportional to 588,636 and 1,230,570

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Solution

The third proportional to 588,636 and 1,230,570 is: 2,572,561.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,636 : 1,230,570 = 1,230,570 : x
  2. Step 2: Convert to fraction form
    588,636/1,230,570 = 1,230,570/x
  3. Step 3: Cross multiply
    588,636x = 1,230,570 × 1,230,570
  4. Step 4: Simplify right side
    588,636x = 1,514,302,524,900
  5. Step 5: Solve for x
    x = 1,514,302,524,900/588,636
  6. Step 6: Final answer
    x = 2,572,561.86

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.