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Finding the Third Proportional to 2,019,623 and 4,322,931

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Solution

The third proportional to 2,019,623 and 4,322,931 is: 9,253,079.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019,623 : 4,322,931 = 4,322,931 : x
  2. Step 2: Convert to fraction form
    2,019,623/4,322,931 = 4,322,931/x
  3. Step 3: Cross multiply
    2,019,623x = 4,322,931 × 4,322,931
  4. Step 4: Simplify right side
    2,019,623x = 18,687,732,430,761
  5. Step 5: Solve for x
    x = 18,687,732,430,761/2,019,623
  6. Step 6: Final answer
    x = 9,253,079.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.