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Finding the Third Proportional to 707,346,450 and 1,522,188,324

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Solution

The third proportional to 707,346,450 and 1,522,188,324 is: 3,275,703,573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,346,450 : 1,522,188,324 = 1,522,188,324 : x
  2. Step 2: Convert to fraction form
    707,346,450/1,522,188,324 = 1,522,188,324/x
  3. Step 3: Cross multiply
    707,346,450x = 1,522,188,324 × 1,522,188,324
  4. Step 4: Simplify right side
    707,346,450x = 2,317,057,293,721,929,216
  5. Step 5: Solve for x
    x = 2,317,057,293,721,929,216/707,346,450
  6. Step 6: Final answer
    x = 3,275,703,573.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.