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Finding the Third Proportional to 457,348 and 993,800

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Solution

The third proportional to 457,348 and 993,800 is: 2,159,490.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,348 : 993,800 = 993,800 : x
  2. Step 2: Convert to fraction form
    457,348/993,800 = 993,800/x
  3. Step 3: Cross multiply
    457,348x = 993,800 × 993,800
  4. Step 4: Simplify right side
    457,348x = 987,638,440,000
  5. Step 5: Solve for x
    x = 987,638,440,000/457,348
  6. Step 6: Final answer
    x = 2,159,490.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.