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Finding the Third Proportional to 516,174,205 and 789,073,539

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Solution

The third proportional to 516,174,205 and 789,073,539 is: 1,206,253,710.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,174,205 : 789,073,539 = 789,073,539 : x
  2. Step 2: Convert to fraction form
    516,174,205/789,073,539 = 789,073,539/x
  3. Step 3: Cross multiply
    516,174,205x = 789,073,539 × 789,073,539
  4. Step 4: Simplify right side
    516,174,205x = 622,637,049,949,984,512
  5. Step 5: Solve for x
    x = 622,637,049,949,984,512/516,174,205
  6. Step 6: Final answer
    x = 1,206,253,710.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.