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Finding the Third Proportional to 437,920 and 957,632

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Solution

The third proportional to 437,920 and 957,632 is: 2,094,124.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,920 : 957,632 = 957,632 : x
  2. Step 2: Convert to fraction form
    437,920/957,632 = 957,632/x
  3. Step 3: Cross multiply
    437,920x = 957,632 × 957,632
  4. Step 4: Simplify right side
    437,920x = 917,059,047,424
  5. Step 5: Solve for x
    x = 917,059,047,424/437,920
  6. Step 6: Final answer
    x = 2,094,124.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.