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Finding the Third Proportional to 1,761,471 and 3,829,014

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Solution

The third proportional to 1,761,471 and 3,829,014 is: 8,323,354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761,471 : 3,829,014 = 3,829,014 : x
  2. Step 2: Convert to fraction form
    1,761,471/3,829,014 = 3,829,014/x
  3. Step 3: Cross multiply
    1,761,471x = 3,829,014 × 3,829,014
  4. Step 4: Simplify right side
    1,761,471x = 14,661,348,212,196
  5. Step 5: Solve for x
    x = 14,661,348,212,196/1,761,471
  6. Step 6: Final answer
    x = 8,323,354.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.