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Finding the Third Proportional to 683,132.89 and 1,460,850.86

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Solution

The third proportional to 683,132.89 and 1,460,850.86 is: 3,123,967.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,132.89 : 1,460,850.86 = 1,460,850.86 : x
  2. Step 2: Convert to fraction form
    683,132.89/1,460,850.86 = 1,460,850.86/x
  3. Step 3: Cross multiply
    683,132.89x = 1,460,850.86 × 1,460,850.86
  4. Step 4: Simplify right side
    683,132.89x = 2,134,085,234,763.05
  5. Step 5: Solve for x
    x = 2,134,085,234,763.05/683,132.89
  6. Step 6: Final answer
    x = 3,123,967.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.