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Finding the Third Proportional to 437,407 and 957,110

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Solution

The third proportional to 437,407 and 957,110 is: 2,094,295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,407 : 957,110 = 957,110 : x
  2. Step 2: Convert to fraction form
    437,407/957,110 = 957,110/x
  3. Step 3: Cross multiply
    437,407x = 957,110 × 957,110
  4. Step 4: Simplify right side
    437,407x = 916,059,552,100
  5. Step 5: Solve for x
    x = 916,059,552,100/437,407
  6. Step 6: Final answer
    x = 2,094,295.59

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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.