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Finding the Third Proportional to 1,024,361.75 and 2,212,851.02

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Solution

The third proportional to 1,024,361.75 and 2,212,851.02 is: 4,780,254.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,361.75 : 2,212,851.02 = 2,212,851.02 : x
  2. Step 2: Convert to fraction form
    1,024,361.75/2,212,851.02 = 2,212,851.02/x
  3. Step 3: Cross multiply
    1,024,361.75x = 2,212,851.02 × 2,212,851.02
  4. Step 4: Simplify right side
    1,024,361.75x = 4,896,709,651,928.39
  5. Step 5: Solve for x
    x = 4,896,709,651,928.39/1,024,361.75
  6. Step 6: Final answer
    x = 4,780,254.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.