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Finding the Third Proportional to 441,316 and 952,624

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Solution

The third proportional to 441,316 and 952,624 is: 2,056,332.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,316 : 952,624 = 952,624 : x
  2. Step 2: Convert to fraction form
    441,316/952,624 = 952,624/x
  3. Step 3: Cross multiply
    441,316x = 952,624 × 952,624
  4. Step 4: Simplify right side
    441,316x = 907,492,485,376
  5. Step 5: Solve for x
    x = 907,492,485,376/441,316
  6. Step 6: Final answer
    x = 2,056,332.62

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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.