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Finding the Third Proportional to 724,961 and 1,705,698

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Solution

The third proportional to 724,961 and 1,705,698 is: 4,013,189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,961 : 1,705,698 = 1,705,698 : x
  2. Step 2: Convert to fraction form
    724,961/1,705,698 = 1,705,698/x
  3. Step 3: Cross multiply
    724,961x = 1,705,698 × 1,705,698
  4. Step 4: Simplify right side
    724,961x = 2,909,405,667,204
  5. Step 5: Solve for x
    x = 2,909,405,667,204/724,961
  6. Step 6: Final answer
    x = 4,013,189.22

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.