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Finding the Third Proportional to 452,643.75 and 983,135.25

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Solution

The third proportional to 452,643.75 and 983,135.25 is: 2,135,354.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,643.75 : 983,135.25 = 983,135.25 : x
  2. Step 2: Convert to fraction form
    452,643.75/983,135.25 = 983,135.25/x
  3. Step 3: Cross multiply
    452,643.75x = 983,135.25 × 983,135.25
  4. Step 4: Simplify right side
    452,643.75x = 966,554,919,792.56
  5. Step 5: Solve for x
    x = 966,554,919,792.56/452,643.75
  6. Step 6: Final answer
    x = 2,135,354.61

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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.