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Finding the Third Proportional to 406,844 and 886,014

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Solution

The third proportional to 406,844 and 886,014 is: 1,929,537.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,844 : 886,014 = 886,014 : x
  2. Step 2: Convert to fraction form
    406,844/886,014 = 886,014/x
  3. Step 3: Cross multiply
    406,844x = 886,014 × 886,014
  4. Step 4: Simplify right side
    406,844x = 785,020,808,196
  5. Step 5: Solve for x
    x = 785,020,808,196/406,844
  6. Step 6: Final answer
    x = 1,929,537.63

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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.