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Finding the Third Proportional to 2,197,364 and 5,291,828

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Solution

The third proportional to 2,197,364 and 5,291,828 is: 12,744,107.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197,364 : 5,291,828 = 5,291,828 : x
  2. Step 2: Convert to fraction form
    2,197,364/5,291,828 = 5,291,828/x
  3. Step 3: Cross multiply
    2,197,364x = 5,291,828 × 5,291,828
  4. Step 4: Simplify right side
    2,197,364x = 28,003,443,581,584
  5. Step 5: Solve for x
    x = 28,003,443,581,584/2,197,364
  6. Step 6: Final answer
    x = 12,744,107.75

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.