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Finding the Third Proportional to 1,924,166 and 4,176,218

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Solution

The third proportional to 1,924,166 and 4,176,218 is: 9,064,081.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924,166 : 4,176,218 = 4,176,218 : x
  2. Step 2: Convert to fraction form
    1,924,166/4,176,218 = 4,176,218/x
  3. Step 3: Cross multiply
    1,924,166x = 4,176,218 × 4,176,218
  4. Step 4: Simplify right side
    1,924,166x = 17,440,796,783,524
  5. Step 5: Solve for x
    x = 17,440,796,783,524/1,924,166
  6. Step 6: Final answer
    x = 9,064,081.16

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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.