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Finding the Third Proportional to 2,289,711 and 4,973,082

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Solution

The third proportional to 2,289,711 and 4,973,082 is: 10,801,164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289,711 : 4,973,082 = 4,973,082 : x
  2. Step 2: Convert to fraction form
    2,289,711/4,973,082 = 4,973,082/x
  3. Step 3: Cross multiply
    2,289,711x = 4,973,082 × 4,973,082
  4. Step 4: Simplify right side
    2,289,711x = 24,731,544,578,724
  5. Step 5: Solve for x
    x = 24,731,544,578,724/2,289,711
  6. Step 6: Final answer
    x = 10,801,164.24

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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.