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Finding the Third Proportional to 445,830 and 964,378

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Solution

The third proportional to 445,830 and 964,378 is: 2,086,052.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,830 : 964,378 = 964,378 : x
  2. Step 2: Convert to fraction form
    445,830/964,378 = 964,378/x
  3. Step 3: Cross multiply
    445,830x = 964,378 × 964,378
  4. Step 4: Simplify right side
    445,830x = 930,024,926,884
  5. Step 5: Solve for x
    x = 930,024,926,884/445,830
  6. Step 6: Final answer
    x = 2,086,052.82

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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.