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Finding the Third Proportional to 773,024 and 1,683,285

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Solution

The third proportional to 773,024 and 1,683,285 is: 3,665,408.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,024 : 1,683,285 = 1,683,285 : x
  2. Step 2: Convert to fraction form
    773,024/1,683,285 = 1,683,285/x
  3. Step 3: Cross multiply
    773,024x = 1,683,285 × 1,683,285
  4. Step 4: Simplify right side
    773,024x = 2,833,448,391,225
  5. Step 5: Solve for x
    x = 2,833,448,391,225/773,024
  6. Step 6: Final answer
    x = 3,665,408.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.