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Finding the Third Proportional to 1,704,016 and 3,647,402

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Solution

The third proportional to 1,704,016 and 3,647,402 is: 7,807,169.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704,016 : 3,647,402 = 3,647,402 : x
  2. Step 2: Convert to fraction form
    1,704,016/3,647,402 = 3,647,402/x
  3. Step 3: Cross multiply
    1,704,016x = 3,647,402 × 3,647,402
  4. Step 4: Simplify right side
    1,704,016x = 13,303,541,349,604
  5. Step 5: Solve for x
    x = 13,303,541,349,604/1,704,016
  6. Step 6: Final answer
    x = 7,807,169.27

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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.