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Finding the Third Proportional to 605,382 and 1,315,740

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Solution

The third proportional to 605,382 and 1,315,740 is: 2,859,635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,382 : 1,315,740 = 1,315,740 : x
  2. Step 2: Convert to fraction form
    605,382/1,315,740 = 1,315,740/x
  3. Step 3: Cross multiply
    605,382x = 1,315,740 × 1,315,740
  4. Step 4: Simplify right side
    605,382x = 1,731,171,747,600
  5. Step 5: Solve for x
    x = 1,731,171,747,600/605,382
  6. Step 6: Final answer
    x = 2,859,635.32

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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.