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Finding the Third Proportional to 2,436,786 and 5,280,354

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Solution

The third proportional to 2,436,786 and 5,280,354 is: 11,442,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436,786 : 5,280,354 = 5,280,354 : x
  2. Step 2: Convert to fraction form
    2,436,786/5,280,354 = 5,280,354/x
  3. Step 3: Cross multiply
    2,436,786x = 5,280,354 × 5,280,354
  4. Step 4: Simplify right side
    2,436,786x = 27,882,138,365,316
  5. Step 5: Solve for x
    x = 27,882,138,365,316/2,436,786
  6. Step 6: Final answer
    x = 11,442,177.67

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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.