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Finding the Third Proportional to 1,429,175 and 3,065,568

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Solution

The third proportional to 1,429,175 and 3,065,568 is: 6,575,616.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,175 : 3,065,568 = 3,065,568 : x
  2. Step 2: Convert to fraction form
    1,429,175/3,065,568 = 3,065,568/x
  3. Step 3: Cross multiply
    1,429,175x = 3,065,568 × 3,065,568
  4. Step 4: Simplify right side
    1,429,175x = 9,397,707,162,624
  5. Step 5: Solve for x
    x = 9,397,707,162,624/1,429,175
  6. Step 6: Final answer
    x = 6,575,616.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.