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Finding the Third Proportional to 713,374 and 1,682,299

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Solution

The third proportional to 713,374 and 1,682,299 is: 3,967,245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,374 : 1,682,299 = 1,682,299 : x
  2. Step 2: Convert to fraction form
    713,374/1,682,299 = 1,682,299/x
  3. Step 3: Cross multiply
    713,374x = 1,682,299 × 1,682,299
  4. Step 4: Simplify right side
    713,374x = 2,830,129,925,401
  5. Step 5: Solve for x
    x = 2,830,129,925,401/713,374
  6. Step 6: Final answer
    x = 3,967,245.69

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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.