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Finding the Third Proportional to 684,591 and 1,526,592

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Solution

The third proportional to 684,591 and 1,526,592 is: 3,404,197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,591 : 1,526,592 = 1,526,592 : x
  2. Step 2: Convert to fraction form
    684,591/1,526,592 = 1,526,592/x
  3. Step 3: Cross multiply
    684,591x = 1,526,592 × 1,526,592
  4. Step 4: Simplify right side
    684,591x = 2,330,483,134,464
  5. Step 5: Solve for x
    x = 2,330,483,134,464/684,591
  6. Step 6: Final answer
    x = 3,404,197.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.