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Finding the Third Proportional to 406,939 and 883,933

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Solution

The third proportional to 406,939 and 883,933 is: 1,920,036.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,939 : 883,933 = 883,933 : x
  2. Step 2: Convert to fraction form
    406,939/883,933 = 883,933/x
  3. Step 3: Cross multiply
    406,939x = 883,933 × 883,933
  4. Step 4: Simplify right side
    406,939x = 781,337,548,489
  5. Step 5: Solve for x
    x = 781,337,548,489/406,939
  6. Step 6: Final answer
    x = 1,920,036.05

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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.