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Finding the Third Proportional to 1,054,698 and 2,184,164

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Solution

The third proportional to 1,054,698 and 2,184,164 is: 4,523,164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054,698 : 2,184,164 = 2,184,164 : x
  2. Step 2: Convert to fraction form
    1,054,698/2,184,164 = 2,184,164/x
  3. Step 3: Cross multiply
    1,054,698x = 2,184,164 × 2,184,164
  4. Step 4: Simplify right side
    1,054,698x = 4,770,572,378,896
  5. Step 5: Solve for x
    x = 4,770,572,378,896/1,054,698
  6. Step 6: Final answer
    x = 4,523,164.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.