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Finding the Third Proportional to 605,741,544 and 1,317,614,553

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Solution

The third proportional to 605,741,544 and 1,317,614,553 is: 2,866,087,240.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,741,544 : 1,317,614,553 = 1,317,614,553 : x
  2. Step 2: Convert to fraction form
    605,741,544/1,317,614,553 = 1,317,614,553/x
  3. Step 3: Cross multiply
    605,741,544x = 1,317,614,553 × 1,317,614,553
  4. Step 4: Simplify right side
    605,741,544x = 1,736,108,110,277,389,824
  5. Step 5: Solve for x
    x = 1,736,108,110,277,389,824/605,741,544
  6. Step 6: Final answer
    x = 2,866,087,240.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.