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Finding the Third Proportional to 724,463,401 and 1,129,741,778

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Solution

The third proportional to 724,463,401 and 1,129,741,778 is: 1,761,740,459.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,463,401 : 1,129,741,778 = 1,129,741,778 : x
  2. Step 2: Convert to fraction form
    724,463,401/1,129,741,778 = 1,129,741,778/x
  3. Step 3: Cross multiply
    724,463,401x = 1,129,741,778 × 1,129,741,778
  4. Step 4: Simplify right side
    724,463,401x = 1,276,316,484,958,601,216
  5. Step 5: Solve for x
    x = 1,276,316,484,958,601,216/724,463,401
  6. Step 6: Final answer
    x = 1,761,740,459.49

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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.