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Finding the Third Proportional to 445,653 and 962,349

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Solution

The third proportional to 445,653 and 962,349 is: 2,078,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,653 : 962,349 = 962,349 : x
  2. Step 2: Convert to fraction form
    445,653/962,349 = 962,349/x
  3. Step 3: Cross multiply
    445,653x = 962,349 × 962,349
  4. Step 4: Simplify right side
    445,653x = 926,115,597,801
  5. Step 5: Solve for x
    x = 926,115,597,801/445,653
  6. Step 6: Final answer
    x = 2,078,109.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.