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Finding the Third Proportional to 705,115.13 and 1,090,017

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Solution

The third proportional to 705,115.13 and 1,090,017 is: 1,685,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,115.13 : 1,090,017 = 1,090,017 : x
  2. Step 2: Convert to fraction form
    705,115.13/1,090,017 = 1,090,017/x
  3. Step 3: Cross multiply
    705,115.13x = 1,090,017 × 1,090,017
  4. Step 4: Simplify right side
    705,115.13x = 1,188,137,060,289
  5. Step 5: Solve for x
    x = 1,188,137,060,289/705,115.13
  6. Step 6: Final answer
    x = 1,685,025.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.