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Finding the Third Proportional to 406,907 and 883,867

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Solution

The third proportional to 406,907 and 883,867 is: 1,919,900.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,907 : 883,867 = 883,867 : x
  2. Step 2: Convert to fraction form
    406,907/883,867 = 883,867/x
  3. Step 3: Cross multiply
    406,907x = 883,867 × 883,867
  4. Step 4: Simplify right side
    406,907x = 781,220,873,689
  5. Step 5: Solve for x
    x = 781,220,873,689/406,907
  6. Step 6: Final answer
    x = 1,919,900.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.