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Finding the Third Proportional to 1,942,378.73 and 4,229,597.25

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Solution

The third proportional to 1,942,378.73 and 4,229,597.25 is: 9,210,095.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942,378.73 : 4,229,597.25 = 4,229,597.25 : x
  2. Step 2: Convert to fraction form
    1,942,378.73/4,229,597.25 = 4,229,597.25/x
  3. Step 3: Cross multiply
    1,942,378.73x = 4,229,597.25 × 4,229,597.25
  4. Step 4: Simplify right side
    1,942,378.73x = 17,889,492,897,207.56
  5. Step 5: Solve for x
    x = 17,889,492,897,207.56/1,942,378.73
  6. Step 6: Final answer
    x = 9,210,095.12

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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.