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Finding the Third Proportional to 724,489 and 1,126,614

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Solution

The third proportional to 724,489 and 1,126,614 is: 1,751,937.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,489 : 1,126,614 = 1,126,614 : x
  2. Step 2: Convert to fraction form
    724,489/1,126,614 = 1,126,614/x
  3. Step 3: Cross multiply
    724,489x = 1,126,614 × 1,126,614
  4. Step 4: Simplify right side
    724,489x = 1,269,259,104,996
  5. Step 5: Solve for x
    x = 1,269,259,104,996/724,489
  6. Step 6: Final answer
    x = 1,751,937.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.