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Finding the Third Proportional to 1,039,418,608 and 1,412,093,715

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Solution

The third proportional to 1,039,418,608 and 1,412,093,715 is: 1,918,388,457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039,418,608 : 1,412,093,715 = 1,412,093,715 : x
  2. Step 2: Convert to fraction form
    1,039,418,608/1,412,093,715 = 1,412,093,715/x
  3. Step 3: Cross multiply
    1,039,418,608x = 1,412,093,715 × 1,412,093,715
  4. Step 4: Simplify right side
    1,039,418,608x = 1,994,008,659,942,501,120
  5. Step 5: Solve for x
    x = 1,994,008,659,942,501,120/1,039,418,608
  6. Step 6: Final answer
    x = 1,918,388,457.35

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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.