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Finding the Third Proportional to 415,808 and 875,083

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Solution

The third proportional to 415,808 and 875,083 is: 1,841,643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,808 : 875,083 = 875,083 : x
  2. Step 2: Convert to fraction form
    415,808/875,083 = 875,083/x
  3. Step 3: Cross multiply
    415,808x = 875,083 × 875,083
  4. Step 4: Simplify right side
    415,808x = 765,770,256,889
  5. Step 5: Solve for x
    x = 765,770,256,889/415,808
  6. Step 6: Final answer
    x = 1,841,643.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.