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Finding the Third Proportional to 542,821.50 and 1,146,879

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Solution

The third proportional to 542,821.50 and 1,146,879 is: 2,423,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,821.50 : 1,146,879 = 1,146,879 : x
  2. Step 2: Convert to fraction form
    542,821.50/1,146,879 = 1,146,879/x
  3. Step 3: Cross multiply
    542,821.50x = 1,146,879 × 1,146,879
  4. Step 4: Simplify right side
    542,821.50x = 1,315,331,440,641
  5. Step 5: Solve for x
    x = 1,315,331,440,641/542,821.50
  6. Step 6: Final answer
    x = 2,423,138.07

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.