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Finding the Third Proportional to 683,472 and 1,596,899

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Solution

The third proportional to 683,472 and 1,596,899 is: 3,731,076.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,472 : 1,596,899 = 1,596,899 : x
  2. Step 2: Convert to fraction form
    683,472/1,596,899 = 1,596,899/x
  3. Step 3: Cross multiply
    683,472x = 1,596,899 × 1,596,899
  4. Step 4: Simplify right side
    683,472x = 2,550,086,416,201
  5. Step 5: Solve for x
    x = 2,550,086,416,201/683,472
  6. Step 6: Final answer
    x = 3,731,076.64

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.