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Finding the Third Proportional to 583,800 and 1,257,660

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Solution

The third proportional to 583,800 and 1,257,660 is: 2,709,333.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,800 : 1,257,660 = 1,257,660 : x
  2. Step 2: Convert to fraction form
    583,800/1,257,660 = 1,257,660/x
  3. Step 3: Cross multiply
    583,800x = 1,257,660 × 1,257,660
  4. Step 4: Simplify right side
    583,800x = 1,581,708,675,600
  5. Step 5: Solve for x
    x = 1,581,708,675,600/583,800
  6. Step 6: Final answer
    x = 2,709,333.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.