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Finding the Third Proportional to 850,346 and 1,289,016

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Solution

The third proportional to 850,346 and 1,289,016 is: 1,953,983.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,346 : 1,289,016 = 1,289,016 : x
  2. Step 2: Convert to fraction form
    850,346/1,289,016 = 1,289,016/x
  3. Step 3: Cross multiply
    850,346x = 1,289,016 × 1,289,016
  4. Step 4: Simplify right side
    850,346x = 1,661,562,248,256
  5. Step 5: Solve for x
    x = 1,661,562,248,256/850,346
  6. Step 6: Final answer
    x = 1,953,983.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.