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Finding the Third Proportional to 605,512,551 and 1,325,658,822

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Solution

The third proportional to 605,512,551 and 1,325,658,822 is: 2,902,287,177.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,512,551 : 1,325,658,822 = 1,325,658,822 : x
  2. Step 2: Convert to fraction form
    605,512,551/1,325,658,822 = 1,325,658,822/x
  3. Step 3: Cross multiply
    605,512,551x = 1,325,658,822 × 1,325,658,822
  4. Step 4: Simplify right side
    605,512,551x = 1,757,371,312,346,427,648
  5. Step 5: Solve for x
    x = 1,757,371,312,346,427,648/605,512,551
  6. Step 6: Final answer
    x = 2,902,287,177.11

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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.