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Finding the Third Proportional to 419,011,992 and 849,971,592

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Solution

The third proportional to 419,011,992 and 849,971,592 is: 1,724,179,071.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,011,992 : 849,971,592 = 849,971,592 : x
  2. Step 2: Convert to fraction form
    419,011,992/849,971,592 = 849,971,592/x
  3. Step 3: Cross multiply
    419,011,992x = 849,971,592 × 849,971,592
  4. Step 4: Simplify right side
    419,011,992x = 722,451,707,207,014,400
  5. Step 5: Solve for x
    x = 722,451,707,207,014,400/419,011,992
  6. Step 6: Final answer
    x = 1,724,179,071.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.