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Finding the Third Proportional to 707,909 and 1,540,217

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Solution

The third proportional to 707,909 and 1,540,217 is: 3,351,092.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,909 : 1,540,217 = 1,540,217 : x
  2. Step 2: Convert to fraction form
    707,909/1,540,217 = 1,540,217/x
  3. Step 3: Cross multiply
    707,909x = 1,540,217 × 1,540,217
  4. Step 4: Simplify right side
    707,909x = 2,372,268,407,089
  5. Step 5: Solve for x
    x = 2,372,268,407,089/707,909
  6. Step 6: Final answer
    x = 3,351,092.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.