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Finding the Third Proportional to 402,738 and 940,605

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Solution

The third proportional to 402,738 and 940,605 is: 2,196,807.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,738 : 940,605 = 940,605 : x
  2. Step 2: Convert to fraction form
    402,738/940,605 = 940,605/x
  3. Step 3: Cross multiply
    402,738x = 940,605 × 940,605
  4. Step 4: Simplify right side
    402,738x = 884,737,766,025
  5. Step 5: Solve for x
    x = 884,737,766,025/402,738
  6. Step 6: Final answer
    x = 2,196,807.27

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.