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Finding the Third Proportional to 1,924,155 and 4,176,198

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Solution

The third proportional to 1,924,155 and 4,176,198 is: 9,064,046.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924,155 : 4,176,198 = 4,176,198 : x
  2. Step 2: Convert to fraction form
    1,924,155/4,176,198 = 4,176,198/x
  3. Step 3: Cross multiply
    1,924,155x = 4,176,198 × 4,176,198
  4. Step 4: Simplify right side
    1,924,155x = 17,440,629,735,204
  5. Step 5: Solve for x
    x = 17,440,629,735,204/1,924,155
  6. Step 6: Final answer
    x = 9,064,046.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.