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Finding the Third Proportional to 665,272 and 1,042,415

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Solution

The third proportional to 665,272 and 1,042,415 is: 1,633,360.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,272 : 1,042,415 = 1,042,415 : x
  2. Step 2: Convert to fraction form
    665,272/1,042,415 = 1,042,415/x
  3. Step 3: Cross multiply
    665,272x = 1,042,415 × 1,042,415
  4. Step 4: Simplify right side
    665,272x = 1,086,629,032,225
  5. Step 5: Solve for x
    x = 1,086,629,032,225/665,272
  6. Step 6: Final answer
    x = 1,633,360.54

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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.