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Finding the Third Proportional to 447,653 and 971,008

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Solution

The third proportional to 447,653 and 971,008 is: 2,106,221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,653 : 971,008 = 971,008 : x
  2. Step 2: Convert to fraction form
    447,653/971,008 = 971,008/x
  3. Step 3: Cross multiply
    447,653x = 971,008 × 971,008
  4. Step 4: Simplify right side
    447,653x = 942,856,536,064
  5. Step 5: Solve for x
    x = 942,856,536,064/447,653
  6. Step 6: Final answer
    x = 2,106,221.86

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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.