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Finding the Third Proportional to 705,146 and 1,028,180

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Solution

The third proportional to 705,146 and 1,028,180 is: 1,499,198.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,146 : 1,028,180 = 1,028,180 : x
  2. Step 2: Convert to fraction form
    705,146/1,028,180 = 1,028,180/x
  3. Step 3: Cross multiply
    705,146x = 1,028,180 × 1,028,180
  4. Step 4: Simplify right side
    705,146x = 1,057,154,112,400
  5. Step 5: Solve for x
    x = 1,057,154,112,400/705,146
  6. Step 6: Final answer
    x = 1,499,198.91

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