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Finding the Third Proportional to 443,125.69 and 966,452.77

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Solution

The third proportional to 443,125.69 and 966,452.77 is: 2,107,823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,125.69 : 966,452.77 = 966,452.77 : x
  2. Step 2: Convert to fraction form
    443,125.69/966,452.77 = 966,452.77/x
  3. Step 3: Cross multiply
    443,125.69x = 966,452.77 × 966,452.77
  4. Step 4: Simplify right side
    443,125.69x = 934,030,948,184.21
  5. Step 5: Solve for x
    x = 934,030,948,184.21/443,125.69
  6. Step 6: Final answer
    x = 2,107,823.98

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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.