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Finding the Third Proportional to 467,142.75 and 1,018,710

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Solution

The third proportional to 467,142.75 and 1,018,710 is: 2,221,526.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,142.75 : 1,018,710 = 1,018,710 : x
  2. Step 2: Convert to fraction form
    467,142.75/1,018,710 = 1,018,710/x
  3. Step 3: Cross multiply
    467,142.75x = 1,018,710 × 1,018,710
  4. Step 4: Simplify right side
    467,142.75x = 1,037,770,064,100
  5. Step 5: Solve for x
    x = 1,037,770,064,100/467,142.75
  6. Step 6: Final answer
    x = 2,221,526.64

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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.