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Finding the Third Proportional to 406,979.44 and 886,281.75

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Solution

The third proportional to 406,979.44 and 886,281.75 is: 1,930,061.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,979.44 : 886,281.75 = 886,281.75 : x
  2. Step 2: Convert to fraction form
    406,979.44/886,281.75 = 886,281.75/x
  3. Step 3: Cross multiply
    406,979.44x = 886,281.75 × 886,281.75
  4. Step 4: Simplify right side
    406,979.44x = 785,495,340,383.06
  5. Step 5: Solve for x
    x = 785,495,340,383.06/406,979.44
  6. Step 6: Final answer
    x = 1,930,061.49

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