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Finding the Third Proportional to 584,211 and 1,273,638

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Solution

The third proportional to 584,211 and 1,273,638 is: 2,776,657.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,211 : 1,273,638 = 1,273,638 : x
  2. Step 2: Convert to fraction form
    584,211/1,273,638 = 1,273,638/x
  3. Step 3: Cross multiply
    584,211x = 1,273,638 × 1,273,638
  4. Step 4: Simplify right side
    584,211x = 1,622,153,755,044
  5. Step 5: Solve for x
    x = 1,622,153,755,044/584,211
  6. Step 6: Final answer
    x = 2,776,657.33

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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.