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Finding the Third Proportional to 1,284,481 and 2,823,203

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Solution

The third proportional to 1,284,481 and 2,823,203 is: 6,205,210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,481 : 2,823,203 = 2,823,203 : x
  2. Step 2: Convert to fraction form
    1,284,481/2,823,203 = 2,823,203/x
  3. Step 3: Cross multiply
    1,284,481x = 2,823,203 × 2,823,203
  4. Step 4: Simplify right side
    1,284,481x = 7,970,475,179,209
  5. Step 5: Solve for x
    x = 7,970,475,179,209/1,284,481
  6. Step 6: Final answer
    x = 6,205,210.65

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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.