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Finding the Third Proportional to 1,974,063.38 and 4,241,912.63

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Solution

The third proportional to 1,974,063.38 and 4,241,912.63 is: 9,115,119.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974,063.38 : 4,241,912.63 = 4,241,912.63 : x
  2. Step 2: Convert to fraction form
    1,974,063.38/4,241,912.63 = 4,241,912.63/x
  3. Step 3: Cross multiply
    1,974,063.38x = 4,241,912.63 × 4,241,912.63
  4. Step 4: Simplify right side
    1,974,063.38x = 17,993,822,718,134.39
  5. Step 5: Solve for x
    x = 17,993,822,718,134.39/1,974,063.38
  6. Step 6: Final answer
    x = 9,115,119.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.