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Finding the Third Proportional to 728,115 and 1,139,697

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Solution

The third proportional to 728,115 and 1,139,697 is: 1,783,934.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,115 : 1,139,697 = 1,139,697 : x
  2. Step 2: Convert to fraction form
    728,115/1,139,697 = 1,139,697/x
  3. Step 3: Cross multiply
    728,115x = 1,139,697 × 1,139,697
  4. Step 4: Simplify right side
    728,115x = 1,298,909,251,809
  5. Step 5: Solve for x
    x = 1,298,909,251,809/728,115
  6. Step 6: Final answer
    x = 1,783,934.20

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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.