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Finding the Third Proportional to 406,987.03 and 886,296.94

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Solution

The third proportional to 406,987.03 and 886,296.94 is: 1,930,091.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,987.03 : 886,296.94 = 886,296.94 : x
  2. Step 2: Convert to fraction form
    406,987.03/886,296.94 = 886,296.94/x
  3. Step 3: Cross multiply
    406,987.03x = 886,296.94 × 886,296.94
  4. Step 4: Simplify right side
    406,987.03x = 785,522,261,421.88
  5. Step 5: Solve for x
    x = 785,522,261,421.88/406,987.03
  6. Step 6: Final answer
    x = 1,930,091.63

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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.