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Finding the Third Proportional to 1,616,540 and 2,353,732

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Solution

The third proportional to 1,616,540 and 2,353,732 is: 3,427,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616,540 : 2,353,732 = 2,353,732 : x
  2. Step 2: Convert to fraction form
    1,616,540/2,353,732 = 2,353,732/x
  3. Step 3: Cross multiply
    1,616,540x = 2,353,732 × 2,353,732
  4. Step 4: Simplify right side
    1,616,540x = 5,540,054,327,824
  5. Step 5: Solve for x
    x = 5,540,054,327,824/1,616,540
  6. Step 6: Final answer
    x = 3,427,106.24

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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.