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Finding the Third Proportional to 2,742,485.50 and 5,906,412

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Solution

The third proportional to 2,742,485.50 and 5,906,412 is: 12,720,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742,485.50 : 5,906,412 = 5,906,412 : x
  2. Step 2: Convert to fraction form
    2,742,485.50/5,906,412 = 5,906,412/x
  3. Step 3: Cross multiply
    2,742,485.50x = 5,906,412 × 5,906,412
  4. Step 4: Simplify right side
    2,742,485.50x = 34,885,702,713,744
  5. Step 5: Solve for x
    x = 34,885,702,713,744/2,742,485.50
  6. Step 6: Final answer
    x = 12,720,469.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.