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Finding the Third Proportional to 374,118 and 822,973

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Solution

The third proportional to 374,118 and 822,973 is: 1,810,350.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,118 : 822,973 = 822,973 : x
  2. Step 2: Convert to fraction form
    374,118/822,973 = 822,973/x
  3. Step 3: Cross multiply
    374,118x = 822,973 × 822,973
  4. Step 4: Simplify right side
    374,118x = 677,284,558,729
  5. Step 5: Solve for x
    x = 677,284,558,729/374,118
  6. Step 6: Final answer
    x = 1,810,350.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.