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Finding the Third Proportional to 433,095 and 893,652

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Solution

The third proportional to 433,095 and 893,652 is: 1,843,969.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,095 : 893,652 = 893,652 : x
  2. Step 2: Convert to fraction form
    433,095/893,652 = 893,652/x
  3. Step 3: Cross multiply
    433,095x = 893,652 × 893,652
  4. Step 4: Simplify right side
    433,095x = 798,613,897,104
  5. Step 5: Solve for x
    x = 798,613,897,104/433,095
  6. Step 6: Final answer
    x = 1,843,969.33

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.