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Finding the Third Proportional to 545,052,464 and 1,195,628,257

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Solution

The third proportional to 545,052,464 and 1,195,628,257 is: 2,622,732,715.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,052,464 : 1,195,628,257 = 1,195,628,257 : x
  2. Step 2: Convert to fraction form
    545,052,464/1,195,628,257 = 1,195,628,257/x
  3. Step 3: Cross multiply
    545,052,464x = 1,195,628,257 × 1,195,628,257
  4. Step 4: Simplify right side
    545,052,464x = 1,429,526,928,936,858,112
  5. Step 5: Solve for x
    x = 1,429,526,928,936,858,112/545,052,464
  6. Step 6: Final answer
    x = 2,622,732,715.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.