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Finding the Third Proportional to 443,678 and 971,318

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Solution

The third proportional to 443,678 and 971,318 is: 2,126,449.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,678 : 971,318 = 971,318 : x
  2. Step 2: Convert to fraction form
    443,678/971,318 = 971,318/x
  3. Step 3: Cross multiply
    443,678x = 971,318 × 971,318
  4. Step 4: Simplify right side
    443,678x = 943,458,657,124
  5. Step 5: Solve for x
    x = 943,458,657,124/443,678
  6. Step 6: Final answer
    x = 2,126,449.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.