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Finding the Third Proportional to 2,684,229.75 and 4,065,417

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Solution

The third proportional to 2,684,229.75 and 4,065,417 is: 6,157,302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684,229.75 : 4,065,417 = 4,065,417 : x
  2. Step 2: Convert to fraction form
    2,684,229.75/4,065,417 = 4,065,417/x
  3. Step 3: Cross multiply
    2,684,229.75x = 4,065,417 × 4,065,417
  4. Step 4: Simplify right side
    2,684,229.75x = 16,527,615,383,889
  5. Step 5: Solve for x
    x = 16,527,615,383,889/2,684,229.75
  6. Step 6: Final answer
    x = 6,157,302.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.