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Finding the Third Proportional to 374,116 and 822,969

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Solution

The third proportional to 374,116 and 822,969 is: 1,810,342.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,116 : 822,969 = 822,969 : x
  2. Step 2: Convert to fraction form
    374,116/822,969 = 822,969/x
  3. Step 3: Cross multiply
    374,116x = 822,969 × 822,969
  4. Step 4: Simplify right side
    374,116x = 677,277,974,961
  5. Step 5: Solve for x
    x = 677,277,974,961/374,116
  6. Step 6: Final answer
    x = 1,810,342.18

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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.