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Finding the Third Proportional to 584,436 and 1,259,916

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Solution

The third proportional to 584,436 and 1,259,916 is: 2,716,102.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,436 : 1,259,916 = 1,259,916 : x
  2. Step 2: Convert to fraction form
    584,436/1,259,916 = 1,259,916/x
  3. Step 3: Cross multiply
    584,436x = 1,259,916 × 1,259,916
  4. Step 4: Simplify right side
    584,436x = 1,587,388,327,056
  5. Step 5: Solve for x
    x = 1,587,388,327,056/584,436
  6. Step 6: Final answer
    x = 2,716,102.92

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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.