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Finding the Third Proportional to 447,571 and 973,844

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Solution

The third proportional to 447,571 and 973,844 is: 2,118,931.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,571 : 973,844 = 973,844 : x
  2. Step 2: Convert to fraction form
    447,571/973,844 = 973,844/x
  3. Step 3: Cross multiply
    447,571x = 973,844 × 973,844
  4. Step 4: Simplify right side
    447,571x = 948,372,136,336
  5. Step 5: Solve for x
    x = 948,372,136,336/447,571
  6. Step 6: Final answer
    x = 2,118,931.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.