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Finding the Third Proportional to 986,220,916 and 1,480,628,629

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Solution

The third proportional to 986,220,916 and 1,480,628,629 is: 2,222,890,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,220,916 : 1,480,628,629 = 1,480,628,629 : x
  2. Step 2: Convert to fraction form
    986,220,916/1,480,628,629 = 1,480,628,629/x
  3. Step 3: Cross multiply
    986,220,916x = 1,480,628,629 × 1,480,628,629
  4. Step 4: Simplify right side
    986,220,916x = 2,192,261,137,014,419,712
  5. Step 5: Solve for x
    x = 2,192,261,137,014,419,712/986,220,916
  6. Step 6: Final answer
    x = 2,222,890,532.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.