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Finding the Third Proportional to 2,192,021 and 4,803,082

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Solution

The third proportional to 2,192,021 and 4,803,082 is: 10,524,350.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192,021 : 4,803,082 = 4,803,082 : x
  2. Step 2: Convert to fraction form
    2,192,021/4,803,082 = 4,803,082/x
  3. Step 3: Cross multiply
    2,192,021x = 4,803,082 × 4,803,082
  4. Step 4: Simplify right side
    2,192,021x = 23,069,596,698,724
  5. Step 5: Solve for x
    x = 23,069,596,698,724/2,192,021
  6. Step 6: Final answer
    x = 10,524,350.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.