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Finding the Third Proportional to 605,740 and 940,624

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Solution

The third proportional to 605,740 and 940,624 is: 1,460,648.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,740 : 940,624 = 940,624 : x
  2. Step 2: Convert to fraction form
    605,740/940,624 = 940,624/x
  3. Step 3: Cross multiply
    605,740x = 940,624 × 940,624
  4. Step 4: Simplify right side
    605,740x = 884,773,509,376
  5. Step 5: Solve for x
    x = 884,773,509,376/605,740
  6. Step 6: Final answer
    x = 1,460,648.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.