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Finding the Third Proportional to 452,751.75 and 959,472

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Solution

The third proportional to 452,751.75 and 959,472 is: 2,033,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,751.75 : 959,472 = 959,472 : x
  2. Step 2: Convert to fraction form
    452,751.75/959,472 = 959,472/x
  3. Step 3: Cross multiply
    452,751.75x = 959,472 × 959,472
  4. Step 4: Simplify right side
    452,751.75x = 920,586,518,784
  5. Step 5: Solve for x
    x = 920,586,518,784/452,751.75
  6. Step 6: Final answer
    x = 2,033,314.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.