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Finding the Third Proportional to 401,816 and 845,008

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Solution

The third proportional to 401,816 and 845,008 is: 1,777,028.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,816 : 845,008 = 845,008 : x
  2. Step 2: Convert to fraction form
    401,816/845,008 = 845,008/x
  3. Step 3: Cross multiply
    401,816x = 845,008 × 845,008
  4. Step 4: Simplify right side
    401,816x = 714,038,520,064
  5. Step 5: Solve for x
    x = 714,038,520,064/401,816
  6. Step 6: Final answer
    x = 1,777,028.59

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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.