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Finding the Third Proportional to 605,930,819 and 1,325,235,502

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Solution

The third proportional to 605,930,819 and 1,325,235,502 is: 2,898,431,769.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,930,819 : 1,325,235,502 = 1,325,235,502 : x
  2. Step 2: Convert to fraction form
    605,930,819/1,325,235,502 = 1,325,235,502/x
  3. Step 3: Cross multiply
    605,930,819x = 1,325,235,502 × 1,325,235,502
  4. Step 4: Simplify right side
    605,930,819x = 1,756,249,135,761,191,936
  5. Step 5: Solve for x
    x = 1,756,249,135,761,191,936/605,930,819
  6. Step 6: Final answer
    x = 2,898,431,769.26

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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.