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Finding the Third Proportional to 1,005,782 and 2,169,028

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Solution

The third proportional to 1,005,782 and 2,169,028 is: 4,677,636.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,782 : 2,169,028 = 2,169,028 : x
  2. Step 2: Convert to fraction form
    1,005,782/2,169,028 = 2,169,028/x
  3. Step 3: Cross multiply
    1,005,782x = 2,169,028 × 2,169,028
  4. Step 4: Simplify right side
    1,005,782x = 4,704,682,464,784
  5. Step 5: Solve for x
    x = 4,704,682,464,784/1,005,782
  6. Step 6: Final answer
    x = 4,677,636.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.