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Finding the Third Proportional to 1,004,165 and 2,207,347

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Solution

The third proportional to 1,004,165 and 2,207,347 is: 4,852,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,165 : 2,207,347 = 2,207,347 : x
  2. Step 2: Convert to fraction form
    1,004,165/2,207,347 = 2,207,347/x
  3. Step 3: Cross multiply
    1,004,165x = 2,207,347 × 2,207,347
  4. Step 4: Simplify right side
    1,004,165x = 4,872,380,778,409
  5. Step 5: Solve for x
    x = 4,872,380,778,409/1,004,165
  6. Step 6: Final answer
    x = 4,852,171.48

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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.