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Finding the Third Proportional to 2,684,247.75 and 4,065,444

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Solution

The third proportional to 2,684,247.75 and 4,065,444 is: 6,157,343.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684,247.75 : 4,065,444 = 4,065,444 : x
  2. Step 2: Convert to fraction form
    2,684,247.75/4,065,444 = 4,065,444/x
  3. Step 3: Cross multiply
    2,684,247.75x = 4,065,444 × 4,065,444
  4. Step 4: Simplify right side
    2,684,247.75x = 16,527,834,917,136
  5. Step 5: Solve for x
    x = 16,527,834,917,136/2,684,247.75
  6. Step 6: Final answer
    x = 6,157,343.31

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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.