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Finding the Third Proportional to 445,350 and 934,464

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Solution

The third proportional to 445,350 and 934,464 is: 1,960,756.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,350 : 934,464 = 934,464 : x
  2. Step 2: Convert to fraction form
    445,350/934,464 = 934,464/x
  3. Step 3: Cross multiply
    445,350x = 934,464 × 934,464
  4. Step 4: Simplify right side
    445,350x = 873,222,967,296
  5. Step 5: Solve for x
    x = 873,222,967,296/445,350
  6. Step 6: Final answer
    x = 1,960,756.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.