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Finding the Third Proportional to 452,223 and 957,966.75

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Solution

The third proportional to 452,223 and 957,966.75 is: 2,029,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,223 : 957,966.75 = 957,966.75 : x
  2. Step 2: Convert to fraction form
    452,223/957,966.75 = 957,966.75/x
  3. Step 3: Cross multiply
    452,223x = 957,966.75 × 957,966.75
  4. Step 4: Simplify right side
    452,223x = 917,700,294,105.56
  5. Step 5: Solve for x
    x = 917,700,294,105.56/452,223
  6. Step 6: Final answer
    x = 2,029,309.20

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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.