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Finding the Third Proportional to 728,114 and 1,139,696

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Solution

The third proportional to 728,114 and 1,139,696 is: 1,783,933.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,114 : 1,139,696 = 1,139,696 : x
  2. Step 2: Convert to fraction form
    728,114/1,139,696 = 1,139,696/x
  3. Step 3: Cross multiply
    728,114x = 1,139,696 × 1,139,696
  4. Step 4: Simplify right side
    728,114x = 1,298,906,972,416
  5. Step 5: Solve for x
    x = 1,298,906,972,416/728,114
  6. Step 6: Final answer
    x = 1,783,933.52

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.