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Finding the Third Proportional to 1,954,721 and 4,071,232.69

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Solution

The third proportional to 1,954,721 and 4,071,232.69 is: 8,479,438.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954,721 : 4,071,232.69 = 4,071,232.69 : x
  2. Step 2: Convert to fraction form
    1,954,721/4,071,232.69 = 4,071,232.69/x
  3. Step 3: Cross multiply
    1,954,721x = 4,071,232.69 × 4,071,232.69
  4. Step 4: Simplify right side
    1,954,721x = 16,574,935,595,768.47
  5. Step 5: Solve for x
    x = 16,574,935,595,768.47/1,954,721
  6. Step 6: Final answer
    x = 8,479,438.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.