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Finding the Third Proportional to 2,102,732 and 3,294,255

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Solution

The third proportional to 2,102,732 and 3,294,255 is: 5,160,960.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,732 : 3,294,255 = 3,294,255 : x
  2. Step 2: Convert to fraction form
    2,102,732/3,294,255 = 3,294,255/x
  3. Step 3: Cross multiply
    2,102,732x = 3,294,255 × 3,294,255
  4. Step 4: Simplify right side
    2,102,732x = 10,852,116,005,025
  5. Step 5: Solve for x
    x = 10,852,116,005,025/2,102,732
  6. Step 6: Final answer
    x = 5,160,960.12

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.