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Finding the Third Proportional to 2,284,829 and 4,962,982

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Solution

The third proportional to 2,284,829 and 4,962,982 is: 10,780,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284,829 : 4,962,982 = 4,962,982 : x
  2. Step 2: Convert to fraction form
    2,284,829/4,962,982 = 4,962,982/x
  3. Step 3: Cross multiply
    2,284,829x = 4,962,982 × 4,962,982
  4. Step 4: Simplify right side
    2,284,829x = 24,631,190,332,324
  5. Step 5: Solve for x
    x = 24,631,190,332,324/2,284,829
  6. Step 6: Final answer
    x = 10,780,321.12

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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.