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Finding the Third Proportional to 2,283,513 and 4,973,861

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Solution

The third proportional to 2,283,513 and 4,973,861 is: 10,833,874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283,513 : 4,973,861 = 4,973,861 : x
  2. Step 2: Convert to fraction form
    2,283,513/4,973,861 = 4,973,861/x
  3. Step 3: Cross multiply
    2,283,513x = 4,973,861 × 4,973,861
  4. Step 4: Simplify right side
    2,283,513x = 24,739,293,247,321
  5. Step 5: Solve for x
    x = 24,739,293,247,321/2,283,513
  6. Step 6: Final answer
    x = 10,833,874.49

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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.