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Finding the Third Proportional to 605,512,575 and 1,325,658,870

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Solution

The third proportional to 605,512,575 and 1,325,658,870 is: 2,902,287,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,512,575 : 1,325,658,870 = 1,325,658,870 : x
  2. Step 2: Convert to fraction form
    605,512,575/1,325,658,870 = 1,325,658,870/x
  3. Step 3: Cross multiply
    605,512,575x = 1,325,658,870 × 1,325,658,870
  4. Step 4: Simplify right side
    605,512,575x = 1,757,371,439,609,676,800
  5. Step 5: Solve for x
    x = 1,757,371,439,609,676,800/605,512,575
  6. Step 6: Final answer
    x = 2,902,287,272.25

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