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Finding the Third Proportional to 2,484,226 and 5,322,584

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Solution

The third proportional to 2,484,226 and 5,322,584 is: 11,403,914.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484,226 : 5,322,584 = 5,322,584 : x
  2. Step 2: Convert to fraction form
    2,484,226/5,322,584 = 5,322,584/x
  3. Step 3: Cross multiply
    2,484,226x = 5,322,584 × 5,322,584
  4. Step 4: Simplify right side
    2,484,226x = 28,329,900,437,056
  5. Step 5: Solve for x
    x = 28,329,900,437,056/2,484,226
  6. Step 6: Final answer
    x = 11,403,914.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.