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Finding the Third Proportional to 920,184 and 1,405,187

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Solution

The third proportional to 920,184 and 1,405,187 is: 2,145,821.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,184 : 1,405,187 = 1,405,187 : x
  2. Step 2: Convert to fraction form
    920,184/1,405,187 = 1,405,187/x
  3. Step 3: Cross multiply
    920,184x = 1,405,187 × 1,405,187
  4. Step 4: Simplify right side
    920,184x = 1,974,550,504,969
  5. Step 5: Solve for x
    x = 1,974,550,504,969/920,184
  6. Step 6: Final answer
    x = 2,145,821.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.