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Finding the Third Proportional to 684,232 and 985,614

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Solution

The third proportional to 684,232 and 985,614 is: 1,419,744.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,232 : 985,614 = 985,614 : x
  2. Step 2: Convert to fraction form
    684,232/985,614 = 985,614/x
  3. Step 3: Cross multiply
    684,232x = 985,614 × 985,614
  4. Step 4: Simplify right side
    684,232x = 971,434,956,996
  5. Step 5: Solve for x
    x = 971,434,956,996/684,232
  6. Step 6: Final answer
    x = 1,419,744.99

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.