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Finding the Third Proportional to 1,841,162 and 4,001,019

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Solution

The third proportional to 1,841,162 and 4,001,019 is: 8,694,592.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841,162 : 4,001,019 = 4,001,019 : x
  2. Step 2: Convert to fraction form
    1,841,162/4,001,019 = 4,001,019/x
  3. Step 3: Cross multiply
    1,841,162x = 4,001,019 × 4,001,019
  4. Step 4: Simplify right side
    1,841,162x = 16,008,153,038,361
  5. Step 5: Solve for x
    x = 16,008,153,038,361/1,841,162
  6. Step 6: Final answer
    x = 8,694,592.35

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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.