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Finding the Third Proportional to 1,729,752 and 3,785,318

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Solution

The third proportional to 1,729,752 and 3,785,318 is: 8,283,633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729,752 : 3,785,318 = 3,785,318 : x
  2. Step 2: Convert to fraction form
    1,729,752/3,785,318 = 3,785,318/x
  3. Step 3: Cross multiply
    1,729,752x = 3,785,318 × 3,785,318
  4. Step 4: Simplify right side
    1,729,752x = 14,328,632,361,124
  5. Step 5: Solve for x
    x = 14,328,632,361,124/1,729,752
  6. Step 6: Final answer
    x = 8,283,633.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.