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Finding the Third Proportional to 713,743 and 1,684,285

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Solution

The third proportional to 713,743 and 1,684,285 is: 3,974,562.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,743 : 1,684,285 = 1,684,285 : x
  2. Step 2: Convert to fraction form
    713,743/1,684,285 = 1,684,285/x
  3. Step 3: Cross multiply
    713,743x = 1,684,285 × 1,684,285
  4. Step 4: Simplify right side
    713,743x = 2,836,815,961,225
  5. Step 5: Solve for x
    x = 2,836,815,961,225/713,743
  6. Step 6: Final answer
    x = 3,974,562.22

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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.