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Finding the Third Proportional to 412,335 and 875,214

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Solution

The third proportional to 412,335 and 875,214 is: 1,857,711.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,335 : 875,214 = 875,214 : x
  2. Step 2: Convert to fraction form
    412,335/875,214 = 875,214/x
  3. Step 3: Cross multiply
    412,335x = 875,214 × 875,214
  4. Step 4: Simplify right side
    412,335x = 765,999,545,796
  5. Step 5: Solve for x
    x = 765,999,545,796/412,335
  6. Step 6: Final answer
    x = 1,857,711.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.