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Finding the Third Proportional to 463,866.75 and 1,006,452

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Solution

The third proportional to 463,866.75 and 1,006,452 is: 2,183,699.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,866.75 : 1,006,452 = 1,006,452 : x
  2. Step 2: Convert to fraction form
    463,866.75/1,006,452 = 1,006,452/x
  3. Step 3: Cross multiply
    463,866.75x = 1,006,452 × 1,006,452
  4. Step 4: Simplify right side
    463,866.75x = 1,012,945,628,304
  5. Step 5: Solve for x
    x = 1,012,945,628,304/463,866.75
  6. Step 6: Final answer
    x = 2,183,699.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.