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Finding the Third Proportional to 613,938 and 1,328,763

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Solution

The third proportional to 613,938 and 1,328,763 is: 2,875,878.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,938 : 1,328,763 = 1,328,763 : x
  2. Step 2: Convert to fraction form
    613,938/1,328,763 = 1,328,763/x
  3. Step 3: Cross multiply
    613,938x = 1,328,763 × 1,328,763
  4. Step 4: Simplify right side
    613,938x = 1,765,611,110,169
  5. Step 5: Solve for x
    x = 1,765,611,110,169/613,938
  6. Step 6: Final answer
    x = 2,875,878.53

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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.