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Finding the Third Proportional to 1,212,465.88 and 1,685,836.88

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Solution

The third proportional to 1,212,465.88 and 1,685,836.88 is: 2,344,021.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,465.88 : 1,685,836.88 = 1,685,836.88 : x
  2. Step 2: Convert to fraction form
    1,212,465.88/1,685,836.88 = 1,685,836.88/x
  3. Step 3: Cross multiply
    1,212,465.88x = 1,685,836.88 × 1,685,836.88
  4. Step 4: Simplify right side
    1,212,465.88x = 2,842,045,969,109.77
  5. Step 5: Solve for x
    x = 2,842,045,969,109.77/1,212,465.88
  6. Step 6: Final answer
    x = 2,344,021.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.