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Finding the Third Proportional to 445,348 and 934,460

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Solution

The third proportional to 445,348 and 934,460 is: 1,960,748.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,348 : 934,460 = 934,460 : x
  2. Step 2: Convert to fraction form
    445,348/934,460 = 934,460/x
  3. Step 3: Cross multiply
    445,348x = 934,460 × 934,460
  4. Step 4: Simplify right side
    445,348x = 873,215,491,600
  5. Step 5: Solve for x
    x = 873,215,491,600/445,348
  6. Step 6: Final answer
    x = 1,960,748.65

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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.