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Finding the Third Proportional to 761,424 and 1,672,380

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Solution

The third proportional to 761,424 and 1,672,380 is: 3,673,189.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,424 : 1,672,380 = 1,672,380 : x
  2. Step 2: Convert to fraction form
    761,424/1,672,380 = 1,672,380/x
  3. Step 3: Cross multiply
    761,424x = 1,672,380 × 1,672,380
  4. Step 4: Simplify right side
    761,424x = 2,796,854,864,400
  5. Step 5: Solve for x
    x = 2,796,854,864,400/761,424
  6. Step 6: Final answer
    x = 3,673,189.79

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.