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Finding the Third Proportional to 680,846 and 1,590,299

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Solution

The third proportional to 680,846 and 1,590,299 is: 3,714,571.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,846 : 1,590,299 = 1,590,299 : x
  2. Step 2: Convert to fraction form
    680,846/1,590,299 = 1,590,299/x
  3. Step 3: Cross multiply
    680,846x = 1,590,299 × 1,590,299
  4. Step 4: Simplify right side
    680,846x = 2,529,050,909,401
  5. Step 5: Solve for x
    x = 2,529,050,909,401/680,846
  6. Step 6: Final answer
    x = 3,714,571.15

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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.