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Finding the Third Proportional to 894,072 and 1,939,521

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Solution

The third proportional to 894,072 and 1,939,521 is: 4,207,425.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,072 : 1,939,521 = 1,939,521 : x
  2. Step 2: Convert to fraction form
    894,072/1,939,521 = 1,939,521/x
  3. Step 3: Cross multiply
    894,072x = 1,939,521 × 1,939,521
  4. Step 4: Simplify right side
    894,072x = 3,761,741,709,441
  5. Step 5: Solve for x
    x = 3,761,741,709,441/894,072
  6. Step 6: Final answer
    x = 4,207,425.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.