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Finding the Third Proportional to 583,860 and 1,257,756

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Solution

The third proportional to 583,860 and 1,257,756 is: 2,709,468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,860 : 1,257,756 = 1,257,756 : x
  2. Step 2: Convert to fraction form
    583,860/1,257,756 = 1,257,756/x
  3. Step 3: Cross multiply
    583,860x = 1,257,756 × 1,257,756
  4. Step 4: Simplify right side
    583,860x = 1,581,950,155,536
  5. Step 5: Solve for x
    x = 1,581,950,155,536/583,860
  6. Step 6: Final answer
    x = 2,709,468.29

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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.