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Finding the Third Proportional to 407,902 and 874,851

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Solution

The third proportional to 407,902 and 874,851 is: 1,876,343.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,902 : 874,851 = 874,851 : x
  2. Step 2: Convert to fraction form
    407,902/874,851 = 874,851/x
  3. Step 3: Cross multiply
    407,902x = 874,851 × 874,851
  4. Step 4: Simplify right side
    407,902x = 765,364,272,201
  5. Step 5: Solve for x
    x = 765,364,272,201/407,902
  6. Step 6: Final answer
    x = 1,876,343.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.