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Finding the Third Proportional to 664,320 and 1,044,096

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Solution

The third proportional to 664,320 and 1,044,096 is: 1,640,980.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,320 : 1,044,096 = 1,044,096 : x
  2. Step 2: Convert to fraction form
    664,320/1,044,096 = 1,044,096/x
  3. Step 3: Cross multiply
    664,320x = 1,044,096 × 1,044,096
  4. Step 4: Simplify right side
    664,320x = 1,090,136,457,216
  5. Step 5: Solve for x
    x = 1,090,136,457,216/664,320
  6. Step 6: Final answer
    x = 1,640,980.94

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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.