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Finding the Third Proportional to 684,580 and 1,526,571

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Solution

The third proportional to 684,580 and 1,526,571 is: 3,404,158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,580 : 1,526,571 = 1,526,571 : x
  2. Step 2: Convert to fraction form
    684,580/1,526,571 = 1,526,571/x
  3. Step 3: Cross multiply
    684,580x = 1,526,571 × 1,526,571
  4. Step 4: Simplify right side
    684,580x = 2,330,419,018,041
  5. Step 5: Solve for x
    x = 2,330,419,018,041/684,580
  6. Step 6: Final answer
    x = 3,404,158.78

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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.