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Finding the Third Proportional to 1,078,389 and 2,308,228

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Solution

The third proportional to 1,078,389 and 2,308,228 is: 4,940,625.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078,389 : 2,308,228 = 2,308,228 : x
  2. Step 2: Convert to fraction form
    1,078,389/2,308,228 = 2,308,228/x
  3. Step 3: Cross multiply
    1,078,389x = 2,308,228 × 2,308,228
  4. Step 4: Simplify right side
    1,078,389x = 5,327,916,499,984
  5. Step 5: Solve for x
    x = 5,327,916,499,984/1,078,389
  6. Step 6: Final answer
    x = 4,940,625.79

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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.