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Finding the Third Proportional to 938,472.75 and 2,049,043.50

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Solution

The third proportional to 938,472.75 and 2,049,043.50 is: 4,473,842.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,472.75 : 2,049,043.50 = 2,049,043.50 : x
  2. Step 2: Convert to fraction form
    938,472.75/2,049,043.50 = 2,049,043.50/x
  3. Step 3: Cross multiply
    938,472.75x = 2,049,043.50 × 2,049,043.50
  4. Step 4: Simplify right side
    938,472.75x = 4,198,579,264,892.25
  5. Step 5: Solve for x
    x = 4,198,579,264,892.25/938,472.75
  6. Step 6: Final answer
    x = 4,473,842.49

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Why These Related Problems?

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