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Finding the Third Proportional to 334,584,189 and 724,753,170

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Solution

The third proportional to 334,584,189 and 724,753,170 is: 1,569,910,278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,584,189 : 724,753,170 = 724,753,170 : x
  2. Step 2: Convert to fraction form
    334,584,189/724,753,170 = 724,753,170/x
  3. Step 3: Cross multiply
    334,584,189x = 724,753,170 × 724,753,170
  4. Step 4: Simplify right side
    334,584,189x = 525,267,157,425,048,896
  5. Step 5: Solve for x
    x = 525,267,157,425,048,896/334,584,189
  6. Step 6: Final answer
    x = 1,569,910,278.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.