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Finding the Third Proportional to 898,630 and 1,923,619

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Solution

The third proportional to 898,630 and 1,923,619 is: 4,117,723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,630 : 1,923,619 = 1,923,619 : x
  2. Step 2: Convert to fraction form
    898,630/1,923,619 = 1,923,619/x
  3. Step 3: Cross multiply
    898,630x = 1,923,619 × 1,923,619
  4. Step 4: Simplify right side
    898,630x = 3,700,310,057,161
  5. Step 5: Solve for x
    x = 3,700,310,057,161/898,630
  6. Step 6: Final answer
    x = 4,117,723.71

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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.