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Finding the Third Proportional to 1,212,469 and 1,685,841

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Solution

The third proportional to 1,212,469 and 1,685,841 is: 2,344,026.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,469 : 1,685,841 = 1,685,841 : x
  2. Step 2: Convert to fraction form
    1,212,469/1,685,841 = 1,685,841/x
  3. Step 3: Cross multiply
    1,212,469x = 1,685,841 × 1,685,841
  4. Step 4: Simplify right side
    1,212,469x = 2,842,059,877,281
  5. Step 5: Solve for x
    x = 2,842,059,877,281/1,212,469
  6. Step 6: Final answer
    x = 2,344,026.84

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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.