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Finding the Third Proportional to 713,378 and 1,682,309

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Solution

The third proportional to 713,378 and 1,682,309 is: 3,967,270.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,378 : 1,682,309 = 1,682,309 : x
  2. Step 2: Convert to fraction form
    713,378/1,682,309 = 1,682,309/x
  3. Step 3: Cross multiply
    713,378x = 1,682,309 × 1,682,309
  4. Step 4: Simplify right side
    713,378x = 2,830,163,571,481
  5. Step 5: Solve for x
    x = 2,830,163,571,481/713,378
  6. Step 6: Final answer
    x = 3,967,270.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.