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Finding the Third Proportional to 1,141,734 and 2,509,464

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Solution

The third proportional to 1,141,734 and 2,509,464 is: 5,515,653.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141,734 : 2,509,464 = 2,509,464 : x
  2. Step 2: Convert to fraction form
    1,141,734/2,509,464 = 2,509,464/x
  3. Step 3: Cross multiply
    1,141,734x = 2,509,464 × 2,509,464
  4. Step 4: Simplify right side
    1,141,734x = 6,297,409,567,296
  5. Step 5: Solve for x
    x = 6,297,409,567,296/1,141,734
  6. Step 6: Final answer
    x = 5,515,653.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.