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Finding the Third Proportional to 437,384 and 956,464

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Solution

The third proportional to 437,384 and 956,464 is: 2,091,579.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,384 : 956,464 = 956,464 : x
  2. Step 2: Convert to fraction form
    437,384/956,464 = 956,464/x
  3. Step 3: Cross multiply
    437,384x = 956,464 × 956,464
  4. Step 4: Simplify right side
    437,384x = 914,823,383,296
  5. Step 5: Solve for x
    x = 914,823,383,296/437,384
  6. Step 6: Final answer
    x = 2,091,579.44

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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.