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Finding the Third Proportional to 664,322 and 1,044,099

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Solution

The third proportional to 664,322 and 1,044,099 is: 1,640,985.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,322 : 1,044,099 = 1,044,099 : x
  2. Step 2: Convert to fraction form
    664,322/1,044,099 = 1,044,099/x
  3. Step 3: Cross multiply
    664,322x = 1,044,099 × 1,044,099
  4. Step 4: Simplify right side
    664,322x = 1,090,142,721,801
  5. Step 5: Solve for x
    x = 1,090,142,721,801/664,322
  6. Step 6: Final answer
    x = 1,640,985.43

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.