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Finding the Third Proportional to 642,874.50 and 1,400,039

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Solution

The third proportional to 642,874.50 and 1,400,039 is: 3,048,976.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,874.50 : 1,400,039 = 1,400,039 : x
  2. Step 2: Convert to fraction form
    642,874.50/1,400,039 = 1,400,039/x
  3. Step 3: Cross multiply
    642,874.50x = 1,400,039 × 1,400,039
  4. Step 4: Simplify right side
    642,874.50x = 1,960,109,201,521
  5. Step 5: Solve for x
    x = 1,960,109,201,521/642,874.50
  6. Step 6: Final answer
    x = 3,048,976.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.