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Finding the Third Proportional to 437,916 and 957,624

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Solution

The third proportional to 437,916 and 957,624 is: 2,094,108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,916 : 957,624 = 957,624 : x
  2. Step 2: Convert to fraction form
    437,916/957,624 = 957,624/x
  3. Step 3: Cross multiply
    437,916x = 957,624 × 957,624
  4. Step 4: Simplify right side
    437,916x = 917,043,725,376
  5. Step 5: Solve for x
    x = 917,043,725,376/437,916
  6. Step 6: Final answer
    x = 2,094,108.75

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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.