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Finding the Third Proportional to 508,723,873 and 1,101,961,744

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Solution

The third proportional to 508,723,873 and 1,101,961,744 is: 2,386,991,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,723,873 : 1,101,961,744 = 1,101,961,744 : x
  2. Step 2: Convert to fraction form
    508,723,873/1,101,961,744 = 1,101,961,744/x
  3. Step 3: Cross multiply
    508,723,873x = 1,101,961,744 × 1,101,961,744
  4. Step 4: Simplify right side
    508,723,873x = 1,214,319,685,239,521,536
  5. Step 5: Solve for x
    x = 1,214,319,685,239,521,536/508,723,873
  6. Step 6: Final answer
    x = 2,386,991,744.81

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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.