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Finding the Third Proportional to 1,429,240 and 3,065,768

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Solution

The third proportional to 1,429,240 and 3,065,768 is: 6,576,175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,240 : 3,065,768 = 3,065,768 : x
  2. Step 2: Convert to fraction form
    1,429,240/3,065,768 = 3,065,768/x
  3. Step 3: Cross multiply
    1,429,240x = 3,065,768 × 3,065,768
  4. Step 4: Simplify right side
    1,429,240x = 9,398,933,429,824
  5. Step 5: Solve for x
    x = 9,398,933,429,824/1,429,240
  6. Step 6: Final answer
    x = 6,576,175.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.