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Finding the Third Proportional to 2,336,583 and 5,046,831

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Solution

The third proportional to 2,336,583 and 5,046,831 is: 10,900,748.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336,583 : 5,046,831 = 5,046,831 : x
  2. Step 2: Convert to fraction form
    2,336,583/5,046,831 = 5,046,831/x
  3. Step 3: Cross multiply
    2,336,583x = 5,046,831 × 5,046,831
  4. Step 4: Simplify right side
    2,336,583x = 25,470,503,142,561
  5. Step 5: Solve for x
    x = 25,470,503,142,561/2,336,583
  6. Step 6: Final answer
    x = 10,900,748.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.