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Finding the Third Proportional to 443,118.09 and 966,437.58

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Solution

The third proportional to 443,118.09 and 966,437.58 is: 2,107,793.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,118.09 : 966,437.58 = 966,437.58 : x
  2. Step 2: Convert to fraction form
    443,118.09/966,437.58 = 966,437.58/x
  3. Step 3: Cross multiply
    443,118.09x = 966,437.58 × 966,437.58
  4. Step 4: Simplify right side
    443,118.09x = 934,001,592,412.12
  5. Step 5: Solve for x
    x = 934,001,592,412.12/443,118.09
  6. Step 6: Final answer
    x = 2,107,793.85

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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.