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Finding the Third Proportional to 584,208 and 1,273,632

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Solution

The third proportional to 584,208 and 1,273,632 is: 2,776,645.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,208 : 1,273,632 = 1,273,632 : x
  2. Step 2: Convert to fraction form
    584,208/1,273,632 = 1,273,632/x
  3. Step 3: Cross multiply
    584,208x = 1,273,632 × 1,273,632
  4. Step 4: Simplify right side
    584,208x = 1,622,138,471,424
  5. Step 5: Solve for x
    x = 1,622,138,471,424/584,208
  6. Step 6: Final answer
    x = 2,776,645.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.