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Finding the Third Proportional to 583,830 and 1,263,615

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Solution

The third proportional to 583,830 and 1,263,615 is: 2,734,910.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,830 : 1,263,615 = 1,263,615 : x
  2. Step 2: Convert to fraction form
    583,830/1,263,615 = 1,263,615/x
  3. Step 3: Cross multiply
    583,830x = 1,263,615 × 1,263,615
  4. Step 4: Simplify right side
    583,830x = 1,596,722,868,225
  5. Step 5: Solve for x
    x = 1,596,722,868,225/583,830
  6. Step 6: Final answer
    x = 2,734,910.62

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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.