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Finding the Third Proportional to 728,106.38 and 1,139,684.06

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Solution

The third proportional to 728,106.38 and 1,139,684.06 is: 1,783,914.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,106.38 : 1,139,684.06 = 1,139,684.06 : x
  2. Step 2: Convert to fraction form
    728,106.38/1,139,684.06 = 1,139,684.06/x
  3. Step 3: Cross multiply
    728,106.38x = 1,139,684.06 × 1,139,684.06
  4. Step 4: Simplify right side
    728,106.38x = 1,298,879,762,316.50
  5. Step 5: Solve for x
    x = 1,298,879,762,316.50/728,106.38
  6. Step 6: Final answer
    x = 1,783,914.83

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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.