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Finding the Third Proportional to 683,577 and 1,483,612.50

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Solution

The third proportional to 683,577 and 1,483,612.50 is: 3,219,982.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,577 : 1,483,612.50 = 1,483,612.50 : x
  2. Step 2: Convert to fraction form
    683,577/1,483,612.50 = 1,483,612.50/x
  3. Step 3: Cross multiply
    683,577x = 1,483,612.50 × 1,483,612.50
  4. Step 4: Simplify right side
    683,577x = 2,201,106,050,156.25
  5. Step 5: Solve for x
    x = 2,201,106,050,156.25/683,577
  6. Step 6: Final answer
    x = 3,219,982.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.