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Finding the Third Proportional to 2,560,932 and 5,437,260

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Solution

The third proportional to 2,560,932 and 5,437,260 is: 11,544,155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560,932 : 5,437,260 = 5,437,260 : x
  2. Step 2: Convert to fraction form
    2,560,932/5,437,260 = 5,437,260/x
  3. Step 3: Cross multiply
    2,560,932x = 5,437,260 × 5,437,260
  4. Step 4: Simplify right side
    2,560,932x = 29,563,796,307,600
  5. Step 5: Solve for x
    x = 29,563,796,307,600/2,560,932
  6. Step 6: Final answer
    x = 11,544,155.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.