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Finding the Third Proportional to 584,834 and 1,215,620

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Solution

The third proportional to 584,834 and 1,215,620 is: 2,526,754.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,834 : 1,215,620 = 1,215,620 : x
  2. Step 2: Convert to fraction form
    584,834/1,215,620 = 1,215,620/x
  3. Step 3: Cross multiply
    584,834x = 1,215,620 × 1,215,620
  4. Step 4: Simplify right side
    584,834x = 1,477,731,984,400
  5. Step 5: Solve for x
    x = 1,477,731,984,400/584,834
  6. Step 6: Final answer
    x = 2,526,754.57

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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.