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Finding the Third Proportional to 467,187.75 and 1,018,792.69

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Solution

The third proportional to 467,187.75 and 1,018,792.69 is: 2,221,673.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,187.75 : 1,018,792.69 = 1,018,792.69 : x
  2. Step 2: Convert to fraction form
    467,187.75/1,018,792.69 = 1,018,792.69/x
  3. Step 3: Cross multiply
    467,187.75x = 1,018,792.69 × 1,018,792.69
  4. Step 4: Simplify right side
    467,187.75x = 1,037,938,540,103.47
  5. Step 5: Solve for x
    x = 1,037,938,540,103.47/467,187.75
  6. Step 6: Final answer
    x = 2,221,673.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.