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Finding the Third Proportional to 468,843,809 and 1,021,003,570

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Solution

The third proportional to 468,843,809 and 1,021,003,570 is: 2,223,444,716.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,843,809 : 1,021,003,570 = 1,021,003,570 : x
  2. Step 2: Convert to fraction form
    468,843,809/1,021,003,570 = 1,021,003,570/x
  3. Step 3: Cross multiply
    468,843,809x = 1,021,003,570 × 1,021,003,570
  4. Step 4: Simplify right side
    468,843,809x = 1,042,448,289,952,744,960
  5. Step 5: Solve for x
    x = 1,042,448,289,952,744,960/468,843,809
  6. Step 6: Final answer
    x = 2,223,444,716.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.