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Finding the Third Proportional to 400,619 and 936,315

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Solution

The third proportional to 400,619 and 936,315 is: 2,188,328.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,619 : 936,315 = 936,315 : x
  2. Step 2: Convert to fraction form
    400,619/936,315 = 936,315/x
  3. Step 3: Cross multiply
    400,619x = 936,315 × 936,315
  4. Step 4: Simplify right side
    400,619x = 876,685,779,225
  5. Step 5: Solve for x
    x = 876,685,779,225/400,619
  6. Step 6: Final answer
    x = 2,188,328.01

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.