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Finding the Third Proportional to 390,580,992 and 835,522,786

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Solution

The third proportional to 390,580,992 and 835,522,786 is: 1,787,333,076.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,580,992 : 835,522,786 = 835,522,786 : x
  2. Step 2: Convert to fraction form
    390,580,992/835,522,786 = 835,522,786/x
  3. Step 3: Cross multiply
    390,580,992x = 835,522,786 × 835,522,786
  4. Step 4: Simplify right side
    390,580,992x = 698,098,325,925,201,792
  5. Step 5: Solve for x
    x = 698,098,325,925,201,792/390,580,992
  6. Step 6: Final answer
    x = 1,787,333,076.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.