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Finding the Third Proportional to 882,952 and 1,845,849

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Solution

The third proportional to 882,952 and 1,845,849 is: 3,858,826.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,952 : 1,845,849 = 1,845,849 : x
  2. Step 2: Convert to fraction form
    882,952/1,845,849 = 1,845,849/x
  3. Step 3: Cross multiply
    882,952x = 1,845,849 × 1,845,849
  4. Step 4: Simplify right side
    882,952x = 3,407,158,530,801
  5. Step 5: Solve for x
    x = 3,407,158,530,801/882,952
  6. Step 6: Final answer
    x = 3,858,826.45

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.