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Finding the Third Proportional to 923,070 and 1,396,922

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Solution

The third proportional to 923,070 and 1,396,922 is: 2,114,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,070 : 1,396,922 = 1,396,922 : x
  2. Step 2: Convert to fraction form
    923,070/1,396,922 = 1,396,922/x
  3. Step 3: Cross multiply
    923,070x = 1,396,922 × 1,396,922
  4. Step 4: Simplify right side
    923,070x = 1,951,391,074,084
  5. Step 5: Solve for x
    x = 1,951,391,074,084/923,070
  6. Step 6: Final answer
    x = 2,114,022.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.