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Finding the Third Proportional to 683,208 and 1,499,472

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Solution

The third proportional to 683,208 and 1,499,472 is: 3,290,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,208 : 1,499,472 = 1,499,472 : x
  2. Step 2: Convert to fraction form
    683,208/1,499,472 = 1,499,472/x
  3. Step 3: Cross multiply
    683,208x = 1,499,472 × 1,499,472
  4. Step 4: Simplify right side
    683,208x = 2,248,416,278,784
  5. Step 5: Solve for x
    x = 2,248,416,278,784/683,208
  6. Step 6: Final answer
    x = 3,290,968.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.