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Finding the Third Proportional to 1,601,102 and 3,497,689

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Solution

The third proportional to 1,601,102 and 3,497,689 is: 7,640,880.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601,102 : 3,497,689 = 3,497,689 : x
  2. Step 2: Convert to fraction form
    1,601,102/3,497,689 = 3,497,689/x
  3. Step 3: Cross multiply
    1,601,102x = 3,497,689 × 3,497,689
  4. Step 4: Simplify right side
    1,601,102x = 12,233,828,340,721
  5. Step 5: Solve for x
    x = 12,233,828,340,721/1,601,102
  6. Step 6: Final answer
    x = 7,640,880.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.