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Finding the Third Proportional to 692,945,736 and 941,395,806

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Solution

The third proportional to 692,945,736 and 941,395,806 is: 1,278,925,632.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,945,736 : 941,395,806 = 941,395,806 : x
  2. Step 2: Convert to fraction form
    692,945,736/941,395,806 = 941,395,806/x
  3. Step 3: Cross multiply
    692,945,736x = 941,395,806 × 941,395,806
  4. Step 4: Simplify right side
    692,945,736x = 886,226,063,554,389,632
  5. Step 5: Solve for x
    x = 886,226,063,554,389,632/692,945,736
  6. Step 6: Final answer
    x = 1,278,925,632.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.