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Finding the Third Proportional to 406,302 and 875,042

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Solution

The third proportional to 406,302 and 875,042 is: 1,884,555.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,302 : 875,042 = 875,042 : x
  2. Step 2: Convert to fraction form
    406,302/875,042 = 875,042/x
  3. Step 3: Cross multiply
    406,302x = 875,042 × 875,042
  4. Step 4: Simplify right side
    406,302x = 765,698,501,764
  5. Step 5: Solve for x
    x = 765,698,501,764/406,302
  6. Step 6: Final answer
    x = 1,884,555.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.