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Finding the Third Proportional to 443,755 and 971,921

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Solution

The third proportional to 443,755 and 971,921 is: 2,128,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,755 : 971,921 = 971,921 : x
  2. Step 2: Convert to fraction form
    443,755/971,921 = 971,921/x
  3. Step 3: Cross multiply
    443,755x = 971,921 × 971,921
  4. Step 4: Simplify right side
    443,755x = 944,630,430,241
  5. Step 5: Solve for x
    x = 944,630,430,241/443,755
  6. Step 6: Final answer
    x = 2,128,720.65

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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.