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Finding the Third Proportional to 705,138 and 1,028,169

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Solution

The third proportional to 705,138 and 1,028,169 is: 1,499,183.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,138 : 1,028,169 = 1,028,169 : x
  2. Step 2: Convert to fraction form
    705,138/1,028,169 = 1,028,169/x
  3. Step 3: Cross multiply
    705,138x = 1,028,169 × 1,028,169
  4. Step 4: Simplify right side
    705,138x = 1,057,131,492,561
  5. Step 5: Solve for x
    x = 1,057,131,492,561/705,138
  6. Step 6: Final answer
    x = 1,499,183.84

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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.