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Finding the Third Proportional to 443,685 and 971,334

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Solution

The third proportional to 443,685 and 971,334 is: 2,126,485.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,685 : 971,334 = 971,334 : x
  2. Step 2: Convert to fraction form
    443,685/971,334 = 971,334/x
  3. Step 3: Cross multiply
    443,685x = 971,334 × 971,334
  4. Step 4: Simplify right side
    443,685x = 943,489,739,556
  5. Step 5: Solve for x
    x = 943,489,739,556/443,685
  6. Step 6: Final answer
    x = 2,126,485.55

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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.