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Finding the Third Proportional to 583,858 and 1,263,676

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Solution

The third proportional to 583,858 and 1,263,676 is: 2,735,043.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,858 : 1,263,676 = 1,263,676 : x
  2. Step 2: Convert to fraction form
    583,858/1,263,676 = 1,263,676/x
  3. Step 3: Cross multiply
    583,858x = 1,263,676 × 1,263,676
  4. Step 4: Simplify right side
    583,858x = 1,596,877,032,976
  5. Step 5: Solve for x
    x = 1,596,877,032,976/583,858
  6. Step 6: Final answer
    x = 2,735,043.51

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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.