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Finding the Third Proportional to 2,742,406.88 and 5,906,266.88

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Solution

The third proportional to 2,742,406.88 and 5,906,266.88 is: 12,720,208.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742,406.88 : 5,906,266.88 = 5,906,266.88 : x
  2. Step 2: Convert to fraction form
    2,742,406.88/5,906,266.88 = 5,906,266.88/x
  3. Step 3: Cross multiply
    2,742,406.88x = 5,906,266.88 × 5,906,266.88
  4. Step 4: Simplify right side
    2,742,406.88x = 34,883,988,398,722.27
  5. Step 5: Solve for x
    x = 34,883,988,398,722.27/2,742,406.88
  6. Step 6: Final answer
    x = 12,720,208.92

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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.