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Finding the Third Proportional to 927,916.50 and 1,940,674.50

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Solution

The third proportional to 927,916.50 and 1,940,674.50 is: 4,058,789.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,916.50 : 1,940,674.50 = 1,940,674.50 : x
  2. Step 2: Convert to fraction form
    927,916.50/1,940,674.50 = 1,940,674.50/x
  3. Step 3: Cross multiply
    927,916.50x = 1,940,674.50 × 1,940,674.50
  4. Step 4: Simplify right side
    927,916.50x = 3,766,217,514,950.25
  5. Step 5: Solve for x
    x = 3,766,217,514,950.25/927,916.50
  6. Step 6: Final answer
    x = 4,058,789.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.