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Finding the Third Proportional to 705,168 and 1,028,214

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Solution

The third proportional to 705,168 and 1,028,214 is: 1,499,251.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,168 : 1,028,214 = 1,028,214 : x
  2. Step 2: Convert to fraction form
    705,168/1,028,214 = 1,028,214/x
  3. Step 3: Cross multiply
    705,168x = 1,028,214 × 1,028,214
  4. Step 4: Simplify right side
    705,168x = 1,057,224,029,796
  5. Step 5: Solve for x
    x = 1,057,224,029,796/705,168
  6. Step 6: Final answer
    x = 1,499,251.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.