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Finding the Third Proportional to 683,453.25 and 1,582,209

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Solution

The third proportional to 683,453.25 and 1,582,209 is: 3,662,847.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,453.25 : 1,582,209 = 1,582,209 : x
  2. Step 2: Convert to fraction form
    683,453.25/1,582,209 = 1,582,209/x
  3. Step 3: Cross multiply
    683,453.25x = 1,582,209 × 1,582,209
  4. Step 4: Simplify right side
    683,453.25x = 2,503,385,319,681
  5. Step 5: Solve for x
    x = 2,503,385,319,681/683,453.25
  6. Step 6: Final answer
    x = 3,662,847.93

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.