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Finding the Third Proportional to 946,285.88 and 2,081,818.13

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Solution

The third proportional to 946,285.88 and 2,081,818.13 is: 4,579,976.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,285.88 : 2,081,818.13 = 2,081,818.13 : x
  2. Step 2: Convert to fraction form
    946,285.88/2,081,818.13 = 2,081,818.13/x
  3. Step 3: Cross multiply
    946,285.88x = 2,081,818.13 × 2,081,818.13
  4. Step 4: Simplify right side
    946,285.88x = 4,333,966,705,578.52
  5. Step 5: Solve for x
    x = 4,333,966,705,578.52/946,285.88
  6. Step 6: Final answer
    x = 4,579,976.12

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.