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Finding the Third Proportional to 1,693,120 and 2,305,696

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Solution

The third proportional to 1,693,120 and 2,305,696 is: 3,139,903.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,120 : 2,305,696 = 2,305,696 : x
  2. Step 2: Convert to fraction form
    1,693,120/2,305,696 = 2,305,696/x
  3. Step 3: Cross multiply
    1,693,120x = 2,305,696 × 2,305,696
  4. Step 4: Simplify right side
    1,693,120x = 5,316,234,044,416
  5. Step 5: Solve for x
    x = 5,316,234,044,416/1,693,120
  6. Step 6: Final answer
    x = 3,139,903.87

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.