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Finding the Third Proportional to 683,655 and 1,061,320.50

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Solution

The third proportional to 683,655 and 1,061,320.50 is: 1,647,616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,655 : 1,061,320.50 = 1,061,320.50 : x
  2. Step 2: Convert to fraction form
    683,655/1,061,320.50 = 1,061,320.50/x
  3. Step 3: Cross multiply
    683,655x = 1,061,320.50 × 1,061,320.50
  4. Step 4: Simplify right side
    683,655x = 1,126,401,203,720.25
  5. Step 5: Solve for x
    x = 1,126,401,203,720.25/683,655
  6. Step 6: Final answer
    x = 1,647,616.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.