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Finding the Third Proportional to 738,171,764 and 1,038,189,198

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Solution

The third proportional to 738,171,764 and 1,038,189,198 is: 1,460,143,645.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,171,764 : 1,038,189,198 = 1,038,189,198 : x
  2. Step 2: Convert to fraction form
    738,171,764/1,038,189,198 = 1,038,189,198/x
  3. Step 3: Cross multiply
    738,171,764x = 1,038,189,198 × 1,038,189,198
  4. Step 4: Simplify right side
    738,171,764x = 1,077,836,810,843,883,264
  5. Step 5: Solve for x
    x = 1,077,836,810,843,883,264/738,171,764
  6. Step 6: Final answer
    x = 1,460,143,645.98

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.