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Finding the Third Proportional to 406,933 and 883,921

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Solution

The third proportional to 406,933 and 883,921 is: 1,920,012.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,933 : 883,921 = 883,921 : x
  2. Step 2: Convert to fraction form
    406,933/883,921 = 883,921/x
  3. Step 3: Cross multiply
    406,933x = 883,921 × 883,921
  4. Step 4: Simplify right side
    406,933x = 781,316,334,241
  5. Step 5: Solve for x
    x = 781,316,334,241/406,933
  6. Step 6: Final answer
    x = 1,920,012.22

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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.