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Finding the Third Proportional to 1,416,902.63 and 1,647,221.06

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Solution

The third proportional to 1,416,902.63 and 1,647,221.06 is: 1,914,977.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416,902.63 : 1,647,221.06 = 1,647,221.06 : x
  2. Step 2: Convert to fraction form
    1,416,902.63/1,647,221.06 = 1,647,221.06/x
  3. Step 3: Cross multiply
    1,416,902.63x = 1,647,221.06 × 1,647,221.06
  4. Step 4: Simplify right side
    1,416,902.63x = 2,713,337,228,743.63
  5. Step 5: Solve for x
    x = 2,713,337,228,743.63/1,416,902.63
  6. Step 6: Final answer
    x = 1,914,977.91

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.