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Finding the Third Proportional to 402,740 and 940,610

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Solution

The third proportional to 402,740 and 940,610 is: 2,196,819.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,740 : 940,610 = 940,610 : x
  2. Step 2: Convert to fraction form
    402,740/940,610 = 940,610/x
  3. Step 3: Cross multiply
    402,740x = 940,610 × 940,610
  4. Step 4: Simplify right side
    402,740x = 884,747,172,100
  5. Step 5: Solve for x
    x = 884,747,172,100/402,740
  6. Step 6: Final answer
    x = 2,196,819.72

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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.