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Finding the Third Proportional to 584,872 and 1,215,698

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Solution

The third proportional to 584,872 and 1,215,698 is: 2,526,914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,872 : 1,215,698 = 1,215,698 : x
  2. Step 2: Convert to fraction form
    584,872/1,215,698 = 1,215,698/x
  3. Step 3: Cross multiply
    584,872x = 1,215,698 × 1,215,698
  4. Step 4: Simplify right side
    584,872x = 1,477,921,627,204
  5. Step 5: Solve for x
    x = 1,477,921,627,204/584,872
  6. Step 6: Final answer
    x = 2,526,914.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.