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Finding the Third Proportional to 2,106,800 and 4,464,584

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Solution

The third proportional to 2,106,800 and 4,464,584 is: 9,461,035.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,800 : 4,464,584 = 4,464,584 : x
  2. Step 2: Convert to fraction form
    2,106,800/4,464,584 = 4,464,584/x
  3. Step 3: Cross multiply
    2,106,800x = 4,464,584 × 4,464,584
  4. Step 4: Simplify right side
    2,106,800x = 19,932,510,293,056
  5. Step 5: Solve for x
    x = 19,932,510,293,056/2,106,800
  6. Step 6: Final answer
    x = 9,461,035.83

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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.